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Finding the Third Proportional to 17,566.31 and 25,884.19

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Solution

The third proportional to 17,566.31 and 25,884.19 is: 38,140.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.31 : 25,884.19 = 25,884.19 : x
  2. Step 2: Convert to fraction form
    17,566.31/25,884.19 = 25,884.19/x
  3. Step 3: Cross multiply
    17,566.31x = 25,884.19 × 25,884.19
  4. Step 4: Simplify right side
    17,566.31x = 669,991,162.54
  5. Step 5: Solve for x
    x = 669,991,162.54/17,566.31
  6. Step 6: Final answer
    x = 38,140.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.