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Finding the Third Proportional to 24,412 and 36,558

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Solution

The third proportional to 24,412 and 36,558 is: 54,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412 : 36,558 = 36,558 : x
  2. Step 2: Convert to fraction form
    24,412/36,558 = 36,558/x
  3. Step 3: Cross multiply
    24,412x = 36,558 × 36,558
  4. Step 4: Simplify right side
    24,412x = 1,336,487,364
  5. Step 5: Solve for x
    x = 1,336,487,364/24,412
  6. Step 6: Final answer
    x = 54,747.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.