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Finding the Third Proportional to 24,704 and 52,816

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Solution

The third proportional to 24,704 and 52,816 is: 112,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,704 : 52,816 = 52,816 : x
  2. Step 2: Convert to fraction form
    24,704/52,816 = 52,816/x
  3. Step 3: Cross multiply
    24,704x = 52,816 × 52,816
  4. Step 4: Simplify right side
    24,704x = 2,789,529,856
  5. Step 5: Solve for x
    x = 2,789,529,856/24,704
  6. Step 6: Final answer
    x = 112,918.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.