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Finding the Third Proportional to 31,930 and 42,708

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Solution

The third proportional to 31,930 and 42,708 is: 57,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930 : 42,708 = 42,708 : x
  2. Step 2: Convert to fraction form
    31,930/42,708 = 42,708/x
  3. Step 3: Cross multiply
    31,930x = 42,708 × 42,708
  4. Step 4: Simplify right side
    31,930x = 1,823,973,264
  5. Step 5: Solve for x
    x = 1,823,973,264/31,930
  6. Step 6: Final answer
    x = 57,124.12

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.