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Finding the Third Proportional to 33,178.50 and 49,646.25

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Solution

The third proportional to 33,178.50 and 49,646.25 is: 74,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.50 : 49,646.25 = 49,646.25 : x
  2. Step 2: Convert to fraction form
    33,178.50/49,646.25 = 49,646.25/x
  3. Step 3: Cross multiply
    33,178.50x = 49,646.25 × 49,646.25
  4. Step 4: Simplify right side
    33,178.50x = 2,464,750,139.06
  5. Step 5: Solve for x
    x = 2,464,750,139.06/33,178.50
  6. Step 6: Final answer
    x = 74,287.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.