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Finding the Third Proportional to 39,461.25 and 61,332.75

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Solution

The third proportional to 39,461.25 and 61,332.75 is: 95,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461.25 : 61,332.75 = 61,332.75 : x
  2. Step 2: Convert to fraction form
    39,461.25/61,332.75 = 61,332.75/x
  3. Step 3: Cross multiply
    39,461.25x = 61,332.75 × 61,332.75
  4. Step 4: Simplify right side
    39,461.25x = 3,761,706,222.56
  5. Step 5: Solve for x
    x = 3,761,706,222.56/39,461.25
  6. Step 6: Final answer
    x = 95,326.59

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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.