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Finding the Third Proportional to 17,097.33 and 25,577.65

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Solution

The third proportional to 17,097.33 and 25,577.65 is: 38,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.33 : 25,577.65 = 25,577.65 : x
  2. Step 2: Convert to fraction form
    17,097.33/25,577.65 = 25,577.65/x
  3. Step 3: Cross multiply
    17,097.33x = 25,577.65 × 25,577.65
  4. Step 4: Simplify right side
    17,097.33x = 654,216,099.59
  5. Step 5: Solve for x
    x = 654,216,099.59/17,097.33
  6. Step 6: Final answer
    x = 38,264.23

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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.