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Finding the Third Proportional to 23,141 and 34,612

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Solution

The third proportional to 23,141 and 34,612 is: 51,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141 : 34,612 = 34,612 : x
  2. Step 2: Convert to fraction form
    23,141/34,612 = 34,612/x
  3. Step 3: Cross multiply
    23,141x = 34,612 × 34,612
  4. Step 4: Simplify right side
    23,141x = 1,197,990,544
  5. Step 5: Solve for x
    x = 1,197,990,544/23,141
  6. Step 6: Final answer
    x = 51,769.18

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