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Finding the Third Proportional to 4,159.27 and 9,010.83

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Solution

The third proportional to 4,159.27 and 9,010.83 is: 19,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.27 : 9,010.83 = 9,010.83 : x
  2. Step 2: Convert to fraction form
    4,159.27/9,010.83 = 9,010.83/x
  3. Step 3: Cross multiply
    4,159.27x = 9,010.83 × 9,010.83
  4. Step 4: Simplify right side
    4,159.27x = 81,195,023.50
  5. Step 5: Solve for x
    x = 81,195,023.50/4,159.27
  6. Step 6: Final answer
    x = 19,521.48

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