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Finding the Third Proportional to 16,542 and 24,816

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Solution

The third proportional to 16,542 and 24,816 is: 37,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 24,816 = 24,816 : x
  2. Step 2: Convert to fraction form
    16,542/24,816 = 24,816/x
  3. Step 3: Cross multiply
    16,542x = 24,816 × 24,816
  4. Step 4: Simplify right side
    16,542x = 615,833,856
  5. Step 5: Solve for x
    x = 615,833,856/16,542
  6. Step 6: Final answer
    x = 37,228.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.