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Finding the Third Proportional to 39,708.63 and 61,740.94

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Solution

The third proportional to 39,708.63 and 61,740.94 is: 95,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,708.63 : 61,740.94 = 61,740.94 : x
  2. Step 2: Convert to fraction form
    39,708.63/61,740.94 = 61,740.94/x
  3. Step 3: Cross multiply
    39,708.63x = 61,740.94 × 61,740.94
  4. Step 4: Simplify right side
    39,708.63x = 3,811,943,363.38
  5. Step 5: Solve for x
    x = 3,811,943,363.38/39,708.63
  6. Step 6: Final answer
    x = 95,997.87

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Why These Related Problems?

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