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Finding the Third Proportional to 12,548 and 29,180

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Solution

The third proportional to 12,548 and 29,180 is: 67,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548 : 29,180 = 29,180 : x
  2. Step 2: Convert to fraction form
    12,548/29,180 = 29,180/x
  3. Step 3: Cross multiply
    12,548x = 29,180 × 29,180
  4. Step 4: Simplify right side
    12,548x = 851,472,400
  5. Step 5: Solve for x
    x = 851,472,400/12,548
  6. Step 6: Final answer
    x = 67,857.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.