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Finding the Third Proportional to 24,221 and 32,713

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Solution

The third proportional to 24,221 and 32,713 is: 44,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221 : 32,713 = 32,713 : x
  2. Step 2: Convert to fraction form
    24,221/32,713 = 32,713/x
  3. Step 3: Cross multiply
    24,221x = 32,713 × 32,713
  4. Step 4: Simplify right side
    24,221x = 1,070,140,369
  5. Step 5: Solve for x
    x = 1,070,140,369/24,221
  6. Step 6: Final answer
    x = 44,182.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.