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Finding the Third Proportional to 29,180 and 63,641

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Solution

The third proportional to 29,180 and 63,641 is: 138,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,180 : 63,641 = 63,641 : x
  2. Step 2: Convert to fraction form
    29,180/63,641 = 63,641/x
  3. Step 3: Cross multiply
    29,180x = 63,641 × 63,641
  4. Step 4: Simplify right side
    29,180x = 4,050,176,881
  5. Step 5: Solve for x
    x = 4,050,176,881/29,180
  6. Step 6: Final answer
    x = 138,799.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.