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Finding the Third Proportional to 24,420 and 36,532

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Solution

The third proportional to 24,420 and 36,532 is: 54,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420 : 36,532 = 36,532 : x
  2. Step 2: Convert to fraction form
    24,420/36,532 = 36,532/x
  3. Step 3: Cross multiply
    24,420x = 36,532 × 36,532
  4. Step 4: Simplify right side
    24,420x = 1,334,587,024
  5. Step 5: Solve for x
    x = 1,334,587,024/24,420
  6. Step 6: Final answer
    x = 54,651.39

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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.