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Finding the Third Proportional to 17,565.75 and 27,078.75

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Solution

The third proportional to 17,565.75 and 27,078.75 is: 41,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.75 : 27,078.75 = 27,078.75 : x
  2. Step 2: Convert to fraction form
    17,565.75/27,078.75 = 27,078.75/x
  3. Step 3: Cross multiply
    17,565.75x = 27,078.75 × 27,078.75
  4. Step 4: Simplify right side
    17,565.75x = 733,258,701.56
  5. Step 5: Solve for x
    x = 733,258,701.56/17,565.75
  6. Step 6: Final answer
    x = 41,743.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.