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Finding the Third Proportional to 10,342 and 15,289

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Solution

The third proportional to 10,342 and 15,289 is: 22,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342 : 15,289 = 15,289 : x
  2. Step 2: Convert to fraction form
    10,342/15,289 = 15,289/x
  3. Step 3: Cross multiply
    10,342x = 15,289 × 15,289
  4. Step 4: Simplify right side
    10,342x = 233,753,521
  5. Step 5: Solve for x
    x = 233,753,521/10,342
  6. Step 6: Final answer
    x = 22,602.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.