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Finding the Third Proportional to 24,366 and 36,816

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Solution

The third proportional to 24,366 and 36,816 is: 55,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,366 : 36,816 = 36,816 : x
  2. Step 2: Convert to fraction form
    24,366/36,816 = 36,816/x
  3. Step 3: Cross multiply
    24,366x = 36,816 × 36,816
  4. Step 4: Simplify right side
    24,366x = 1,355,417,856
  5. Step 5: Solve for x
    x = 1,355,417,856/24,366
  6. Step 6: Final answer
    x = 55,627.43

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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.