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Finding the Third Proportional to 24,269 and 36,575

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Solution

The third proportional to 24,269 and 36,575 is: 55,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,269 : 36,575 = 36,575 : x
  2. Step 2: Convert to fraction form
    24,269/36,575 = 36,575/x
  3. Step 3: Cross multiply
    24,269x = 36,575 × 36,575
  4. Step 4: Simplify right side
    24,269x = 1,337,730,625
  5. Step 5: Solve for x
    x = 1,337,730,625/24,269
  6. Step 6: Final answer
    x = 55,120.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.