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Finding the Third Proportional to 33,000.75 and 64,347.75

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Solution

The third proportional to 33,000.75 and 64,347.75 is: 125,470.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000.75 : 64,347.75 = 64,347.75 : x
  2. Step 2: Convert to fraction form
    33,000.75/64,347.75 = 64,347.75/x
  3. Step 3: Cross multiply
    33,000.75x = 64,347.75 × 64,347.75
  4. Step 4: Simplify right side
    33,000.75x = 4,140,632,930.06
  5. Step 5: Solve for x
    x = 4,140,632,930.06/33,000.75
  6. Step 6: Final answer
    x = 125,470.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.