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Finding the Third Proportional to 15,108 and 22,982

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Solution

The third proportional to 15,108 and 22,982 is: 34,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,108 : 22,982 = 22,982 : x
  2. Step 2: Convert to fraction form
    15,108/22,982 = 22,982/x
  3. Step 3: Cross multiply
    15,108x = 22,982 × 22,982
  4. Step 4: Simplify right side
    15,108x = 528,172,324
  5. Step 5: Solve for x
    x = 528,172,324/15,108
  6. Step 6: Final answer
    x = 34,959.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.