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Finding the Third Proportional to 10,598 and 15,517

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Solution

The third proportional to 10,598 and 15,517 is: 22,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598 : 15,517 = 15,517 : x
  2. Step 2: Convert to fraction form
    10,598/15,517 = 15,517/x
  3. Step 3: Cross multiply
    10,598x = 15,517 × 15,517
  4. Step 4: Simplify right side
    10,598x = 240,777,289
  5. Step 5: Solve for x
    x = 240,777,289/10,598
  6. Step 6: Final answer
    x = 22,719.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.