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Finding the Third Proportional to 17,667.75 and 24,761.06

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Solution

The third proportional to 17,667.75 and 24,761.06 is: 34,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,667.75 : 24,761.06 = 24,761.06 : x
  2. Step 2: Convert to fraction form
    17,667.75/24,761.06 = 24,761.06/x
  3. Step 3: Cross multiply
    17,667.75x = 24,761.06 × 24,761.06
  4. Step 4: Simplify right side
    17,667.75x = 613,110,216.13
  5. Step 5: Solve for x
    x = 613,110,216.13/17,667.75
  6. Step 6: Final answer
    x = 34,702.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.