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Finding the Third Proportional to 26,584.50 and 36,119.25

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Solution

The third proportional to 26,584.50 and 36,119.25 is: 49,073.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.50 : 36,119.25 = 36,119.25 : x
  2. Step 2: Convert to fraction form
    26,584.50/36,119.25 = 36,119.25/x
  3. Step 3: Cross multiply
    26,584.50x = 36,119.25 × 36,119.25
  4. Step 4: Simplify right side
    26,584.50x = 1,304,600,220.56
  5. Step 5: Solve for x
    x = 1,304,600,220.56/26,584.50
  6. Step 6: Final answer
    x = 49,073.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.