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Finding the Third Proportional to 10,022 and 15,591

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Solution

The third proportional to 10,022 and 15,591 is: 24,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022 : 15,591 = 15,591 : x
  2. Step 2: Convert to fraction form
    10,022/15,591 = 15,591/x
  3. Step 3: Cross multiply
    10,022x = 15,591 × 15,591
  4. Step 4: Simplify right side
    10,022x = 243,079,281
  5. Step 5: Solve for x
    x = 243,079,281/10,022
  6. Step 6: Final answer
    x = 24,254.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.