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Finding the Third Proportional to 14,098 and 29,790

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Solution

The third proportional to 14,098 and 29,790 is: 62,948.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098 : 29,790 = 29,790 : x
  2. Step 2: Convert to fraction form
    14,098/29,790 = 29,790/x
  3. Step 3: Cross multiply
    14,098x = 29,790 × 29,790
  4. Step 4: Simplify right side
    14,098x = 887,444,100
  5. Step 5: Solve for x
    x = 887,444,100/14,098
  6. Step 6: Final answer
    x = 62,948.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.