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Finding the Third Proportional to 10,029.92 and 15,522.57

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Solution

The third proportional to 10,029.92 and 15,522.57 is: 24,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.92 : 15,522.57 = 15,522.57 : x
  2. Step 2: Convert to fraction form
    10,029.92/15,522.57 = 15,522.57/x
  3. Step 3: Cross multiply
    10,029.92x = 15,522.57 × 15,522.57
  4. Step 4: Simplify right side
    10,029.92x = 240,950,310.38
  5. Step 5: Solve for x
    x = 240,950,310.38/10,029.92
  6. Step 6: Final answer
    x = 24,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.