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Finding the Third Proportional to 24,466 and 32,802

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Solution

The third proportional to 24,466 and 32,802 is: 43,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466 : 32,802 = 32,802 : x
  2. Step 2: Convert to fraction form
    24,466/32,802 = 32,802/x
  3. Step 3: Cross multiply
    24,466x = 32,802 × 32,802
  4. Step 4: Simplify right side
    24,466x = 1,075,971,204
  5. Step 5: Solve for x
    x = 1,075,971,204/24,466
  6. Step 6: Final answer
    x = 43,978.22

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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.