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Finding the Third Proportional to 29,180 and 45,863

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Solution

The third proportional to 29,180 and 45,863 is: 72,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,180 : 45,863 = 45,863 : x
  2. Step 2: Convert to fraction form
    29,180/45,863 = 45,863/x
  3. Step 3: Cross multiply
    29,180x = 45,863 × 45,863
  4. Step 4: Simplify right side
    29,180x = 2,103,414,769
  5. Step 5: Solve for x
    x = 2,103,414,769/29,180
  6. Step 6: Final answer
    x = 72,084.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.