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Finding the Third Proportional to 11,294 and 24,532

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Solution

The third proportional to 11,294 and 24,532 is: 53,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294 : 24,532 = 24,532 : x
  2. Step 2: Convert to fraction form
    11,294/24,532 = 24,532/x
  3. Step 3: Cross multiply
    11,294x = 24,532 × 24,532
  4. Step 4: Simplify right side
    11,294x = 601,819,024
  5. Step 5: Solve for x
    x = 601,819,024/11,294
  6. Step 6: Final answer
    x = 53,286.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.