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Finding the Third Proportional to 17,132.86 and 25,699.31

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Solution

The third proportional to 17,132.86 and 25,699.31 is: 38,549.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.86 : 25,699.31 = 25,699.31 : x
  2. Step 2: Convert to fraction form
    17,132.86/25,699.31 = 25,699.31/x
  3. Step 3: Cross multiply
    17,132.86x = 25,699.31 × 25,699.31
  4. Step 4: Simplify right side
    17,132.86x = 660,454,662.97
  5. Step 5: Solve for x
    x = 660,454,662.97/17,132.86
  6. Step 6: Final answer
    x = 38,549.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.