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Finding the Third Proportional to 17,182.13 and 39,583.69

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Solution

The third proportional to 17,182.13 and 39,583.69 is: 91,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.13 : 39,583.69 = 39,583.69 : x
  2. Step 2: Convert to fraction form
    17,182.13/39,583.69 = 39,583.69/x
  3. Step 3: Cross multiply
    17,182.13x = 39,583.69 × 39,583.69
  4. Step 4: Simplify right side
    17,182.13x = 1,566,868,316.10
  5. Step 5: Solve for x
    x = 1,566,868,316.10/17,182.13
  6. Step 6: Final answer
    x = 91,191.77

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.