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Finding the Third Proportional to 38,967.75 and 82,586.25

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Solution

The third proportional to 38,967.75 and 82,586.25 is: 175,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967.75 : 82,586.25 = 82,586.25 : x
  2. Step 2: Convert to fraction form
    38,967.75/82,586.25 = 82,586.25/x
  3. Step 3: Cross multiply
    38,967.75x = 82,586.25 × 82,586.25
  4. Step 4: Simplify right side
    38,967.75x = 6,820,488,689.06
  5. Step 5: Solve for x
    x = 6,820,488,689.06/38,967.75
  6. Step 6: Final answer
    x = 175,029.06

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