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Finding the Third Proportional to 16,743 and 22,959

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Solution

The third proportional to 16,743 and 22,959 is: 31,482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,743 : 22,959 = 22,959 : x
  2. Step 2: Convert to fraction form
    16,743/22,959 = 22,959/x
  3. Step 3: Cross multiply
    16,743x = 22,959 × 22,959
  4. Step 4: Simplify right side
    16,743x = 527,115,681
  5. Step 5: Solve for x
    x = 527,115,681/16,743
  6. Step 6: Final answer
    x = 31,482.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.