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Finding the Third Proportional to 17,565.75 and 26,709.75

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Solution

The third proportional to 17,565.75 and 26,709.75 is: 40,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.75 : 26,709.75 = 26,709.75 : x
  2. Step 2: Convert to fraction form
    17,565.75/26,709.75 = 26,709.75/x
  3. Step 3: Cross multiply
    17,565.75x = 26,709.75 × 26,709.75
  4. Step 4: Simplify right side
    17,565.75x = 713,410,745.06
  5. Step 5: Solve for x
    x = 713,410,745.06/17,565.75
  6. Step 6: Final answer
    x = 40,613.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.