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Finding the Third Proportional to 24,272 and 52,372

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Solution

The third proportional to 24,272 and 52,372 is: 113,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,272 : 52,372 = 52,372 : x
  2. Step 2: Convert to fraction form
    24,272/52,372 = 52,372/x
  3. Step 3: Cross multiply
    24,272x = 52,372 × 52,372
  4. Step 4: Simplify right side
    24,272x = 2,742,826,384
  5. Step 5: Solve for x
    x = 2,742,826,384/24,272
  6. Step 6: Final answer
    x = 113,003.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.