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Finding the Third Proportional to 3,585.38 and 7,876.13

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Solution

The third proportional to 3,585.38 and 7,876.13 is: 17,301.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.38 : 7,876.13 = 7,876.13 : x
  2. Step 2: Convert to fraction form
    3,585.38/7,876.13 = 7,876.13/x
  3. Step 3: Cross multiply
    3,585.38x = 7,876.13 × 7,876.13
  4. Step 4: Simplify right side
    3,585.38x = 62,033,345.02
  5. Step 5: Solve for x
    x = 62,033,345.02/3,585.38
  6. Step 6: Final answer
    x = 17,301.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.