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Finding the Third Proportional to 38,215.13 and 82,991.25

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Solution

The third proportional to 38,215.13 and 82,991.25 is: 180,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215.13 : 82,991.25 = 82,991.25 : x
  2. Step 2: Convert to fraction form
    38,215.13/82,991.25 = 82,991.25/x
  3. Step 3: Cross multiply
    38,215.13x = 82,991.25 × 82,991.25
  4. Step 4: Simplify right side
    38,215.13x = 6,887,547,576.56
  5. Step 5: Solve for x
    x = 6,887,547,576.56/38,215.13
  6. Step 6: Final answer
    x = 180,230.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.