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Finding the Third Proportional to 24,221 and 32,549

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Solution

The third proportional to 24,221 and 32,549 is: 43,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221 : 32,549 = 32,549 : x
  2. Step 2: Convert to fraction form
    24,221/32,549 = 32,549/x
  3. Step 3: Cross multiply
    24,221x = 32,549 × 32,549
  4. Step 4: Simplify right side
    24,221x = 1,059,437,401
  5. Step 5: Solve for x
    x = 1,059,437,401/24,221
  6. Step 6: Final answer
    x = 43,740.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.