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Finding the Third Proportional to 39,646.13 and 61,426.69

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Solution

The third proportional to 39,646.13 and 61,426.69 is: 95,172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.13 : 61,426.69 = 61,426.69 : x
  2. Step 2: Convert to fraction form
    39,646.13/61,426.69 = 61,426.69/x
  3. Step 3: Cross multiply
    39,646.13x = 61,426.69 × 61,426.69
  4. Step 4: Simplify right side
    39,646.13x = 3,773,237,937.22
  5. Step 5: Solve for x
    x = 3,773,237,937.22/39,646.13
  6. Step 6: Final answer
    x = 95,172.93

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.