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Finding the Third Proportional to 38,267.44 and 81,167.06

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Solution

The third proportional to 38,267.44 and 81,167.06 is: 172,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,267.44 : 81,167.06 = 81,167.06 : x
  2. Step 2: Convert to fraction form
    38,267.44/81,167.06 = 81,167.06/x
  3. Step 3: Cross multiply
    38,267.44x = 81,167.06 × 81,167.06
  4. Step 4: Simplify right side
    38,267.44x = 6,588,092,034.88
  5. Step 5: Solve for x
    x = 6,588,092,034.88/38,267.44
  6. Step 6: Final answer
    x = 172,159.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.