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Finding the Third Proportional to 39,039 and 61,755

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Solution

The third proportional to 39,039 and 61,755 is: 97,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,039 : 61,755 = 61,755 : x
  2. Step 2: Convert to fraction form
    39,039/61,755 = 61,755/x
  3. Step 3: Cross multiply
    39,039x = 61,755 × 61,755
  4. Step 4: Simplify right side
    39,039x = 3,813,680,025
  5. Step 5: Solve for x
    x = 3,813,680,025/39,039
  6. Step 6: Final answer
    x = 97,688.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.