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Finding the Third Proportional to 24,812 and 34,702

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Solution

The third proportional to 24,812 and 34,702 is: 48,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 34,702 = 34,702 : x
  2. Step 2: Convert to fraction form
    24,812/34,702 = 34,702/x
  3. Step 3: Cross multiply
    24,812x = 34,702 × 34,702
  4. Step 4: Simplify right side
    24,812x = 1,204,228,804
  5. Step 5: Solve for x
    x = 1,204,228,804/24,812
  6. Step 6: Final answer
    x = 48,534.13

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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.