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Finding the Third Proportional to 24,482 and 32,331

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Solution

The third proportional to 24,482 and 32,331 is: 42,696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482 : 32,331 = 32,331 : x
  2. Step 2: Convert to fraction form
    24,482/32,331 = 32,331/x
  3. Step 3: Cross multiply
    24,482x = 32,331 × 32,331
  4. Step 4: Simplify right side
    24,482x = 1,045,293,561
  5. Step 5: Solve for x
    x = 1,045,293,561/24,482
  6. Step 6: Final answer
    x = 42,696.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.