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Finding the Third Proportional to 19,712 and 29,498

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Solution

The third proportional to 19,712 and 29,498 is: 44,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712 : 29,498 = 29,498 : x
  2. Step 2: Convert to fraction form
    19,712/29,498 = 29,498/x
  3. Step 3: Cross multiply
    19,712x = 29,498 × 29,498
  4. Step 4: Simplify right side
    19,712x = 870,132,004
  5. Step 5: Solve for x
    x = 870,132,004/19,712
  6. Step 6: Final answer
    x = 44,142.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.