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Finding the Third Proportional to 16,443 and 24,310.13

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Solution

The third proportional to 16,443 and 24,310.13 is: 35,941.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443 : 24,310.13 = 24,310.13 : x
  2. Step 2: Convert to fraction form
    16,443/24,310.13 = 24,310.13/x
  3. Step 3: Cross multiply
    16,443x = 24,310.13 × 24,310.13
  4. Step 4: Simplify right side
    16,443x = 590,982,177.52
  5. Step 5: Solve for x
    x = 590,982,177.52/16,443
  6. Step 6: Final answer
    x = 35,941.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.