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Finding the Third Proportional to 31,439 and 63,790

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Solution

The third proportional to 31,439 and 63,790 is: 129,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,439 : 63,790 = 63,790 : x
  2. Step 2: Convert to fraction form
    31,439/63,790 = 63,790/x
  3. Step 3: Cross multiply
    31,439x = 63,790 × 63,790
  4. Step 4: Simplify right side
    31,439x = 4,069,164,100
  5. Step 5: Solve for x
    x = 4,069,164,100/31,439
  6. Step 6: Final answer
    x = 129,430.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.