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Finding the Third Proportional to 41,633.50 and 61,347.75

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Solution

The third proportional to 41,633.50 and 61,347.75 is: 90,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,633.50 : 61,347.75 = 61,347.75 : x
  2. Step 2: Convert to fraction form
    41,633.50/61,347.75 = 61,347.75/x
  3. Step 3: Cross multiply
    41,633.50x = 61,347.75 × 61,347.75
  4. Step 4: Simplify right side
    41,633.50x = 3,763,546,430.06
  5. Step 5: Solve for x
    x = 3,763,546,430.06/41,633.50
  6. Step 6: Final answer
    x = 90,397.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.