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Finding the Third Proportional to 39,409 and 87,565

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Solution

The third proportional to 39,409 and 87,565 is: 194,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,409 : 87,565 = 87,565 : x
  2. Step 2: Convert to fraction form
    39,409/87,565 = 87,565/x
  3. Step 3: Cross multiply
    39,409x = 87,565 × 87,565
  4. Step 4: Simplify right side
    39,409x = 7,667,629,225
  5. Step 5: Solve for x
    x = 7,667,629,225/39,409
  6. Step 6: Final answer
    x = 194,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.