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Finding the Third Proportional to 11,414 and 24,532

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Solution

The third proportional to 11,414 and 24,532 is: 52,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414 : 24,532 = 24,532 : x
  2. Step 2: Convert to fraction form
    11,414/24,532 = 24,532/x
  3. Step 3: Cross multiply
    11,414x = 24,532 × 24,532
  4. Step 4: Simplify right side
    11,414x = 601,819,024
  5. Step 5: Solve for x
    x = 601,819,024/11,414
  6. Step 6: Final answer
    x = 52,726.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.