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Finding the Third Proportional to 24,225 and 32,718

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Solution

The third proportional to 24,225 and 32,718 is: 44,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 32,718 = 32,718 : x
  2. Step 2: Convert to fraction form
    24,225/32,718 = 32,718/x
  3. Step 3: Cross multiply
    24,225x = 32,718 × 32,718
  4. Step 4: Simplify right side
    24,225x = 1,070,467,524
  5. Step 5: Solve for x
    x = 1,070,467,524/24,225
  6. Step 6: Final answer
    x = 44,188.55

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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.