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Finding the Third Proportional to 16,463 and 24,838

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Solution

The third proportional to 16,463 and 24,838 is: 37,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463 : 24,838 = 24,838 : x
  2. Step 2: Convert to fraction form
    16,463/24,838 = 24,838/x
  3. Step 3: Cross multiply
    16,463x = 24,838 × 24,838
  4. Step 4: Simplify right side
    16,463x = 616,926,244
  5. Step 5: Solve for x
    x = 616,926,244/16,463
  6. Step 6: Final answer
    x = 37,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.