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Finding the Third Proportional to 31,962.09 and 50,139.63

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Solution

The third proportional to 31,962.09 and 50,139.63 is: 78,655.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,962.09 : 50,139.63 = 50,139.63 : x
  2. Step 2: Convert to fraction form
    31,962.09/50,139.63 = 50,139.63/x
  3. Step 3: Cross multiply
    31,962.09x = 50,139.63 × 50,139.63
  4. Step 4: Simplify right side
    31,962.09x = 2,513,982,778.57
  5. Step 5: Solve for x
    x = 2,513,982,778.57/31,962.09
  6. Step 6: Final answer
    x = 78,655.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.