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Finding the Third Proportional to 39,175.88 and 84,586.13

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Solution

The third proportional to 39,175.88 and 84,586.13 is: 182,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,175.88 : 84,586.13 = 84,586.13 : x
  2. Step 2: Convert to fraction form
    39,175.88/84,586.13 = 84,586.13/x
  3. Step 3: Cross multiply
    39,175.88x = 84,586.13 × 84,586.13
  4. Step 4: Simplify right side
    39,175.88x = 7,154,812,542.52
  5. Step 5: Solve for x
    x = 7,154,812,542.52/39,175.88
  6. Step 6: Final answer
    x = 182,633.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.