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Finding the Third Proportional to 15,060 and 22,478

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Solution

The third proportional to 15,060 and 22,478 is: 33,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,060 : 22,478 = 22,478 : x
  2. Step 2: Convert to fraction form
    15,060/22,478 = 22,478/x
  3. Step 3: Cross multiply
    15,060x = 22,478 × 22,478
  4. Step 4: Simplify right side
    15,060x = 505,260,484
  5. Step 5: Solve for x
    x = 505,260,484/15,060
  6. Step 6: Final answer
    x = 33,549.83

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Why These Related Problems?

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