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Finding the Third Proportional to 17,565.75 and 23,749.88

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Solution

The third proportional to 17,565.75 and 23,749.88 is: 32,111.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.75 : 23,749.88 = 23,749.88 : x
  2. Step 2: Convert to fraction form
    17,565.75/23,749.88 = 23,749.88/x
  3. Step 3: Cross multiply
    17,565.75x = 23,749.88 × 23,749.88
  4. Step 4: Simplify right side
    17,565.75x = 564,056,562.52
  5. Step 5: Solve for x
    x = 564,056,562.52/17,565.75
  6. Step 6: Final answer
    x = 32,111.16

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.