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Finding the Third Proportional to 17,113 and 25,418

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Solution

The third proportional to 17,113 and 25,418 is: 37,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,113 : 25,418 = 25,418 : x
  2. Step 2: Convert to fraction form
    17,113/25,418 = 25,418/x
  3. Step 3: Cross multiply
    17,113x = 25,418 × 25,418
  4. Step 4: Simplify right side
    17,113x = 646,074,724
  5. Step 5: Solve for x
    x = 646,074,724/17,113
  6. Step 6: Final answer
    x = 37,753.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.