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Finding the Third Proportional to 24,816 and 34,713

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Solution

The third proportional to 24,816 and 34,713 is: 48,557.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816 : 34,713 = 34,713 : x
  2. Step 2: Convert to fraction form
    24,816/34,713 = 34,713/x
  3. Step 3: Cross multiply
    24,816x = 34,713 × 34,713
  4. Step 4: Simplify right side
    24,816x = 1,204,992,369
  5. Step 5: Solve for x
    x = 1,204,992,369/24,816
  6. Step 6: Final answer
    x = 48,557.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.