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Finding the Third Proportional to 27,565.88 and 41,240.25

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Solution

The third proportional to 27,565.88 and 41,240.25 is: 61,697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.88 : 41,240.25 = 41,240.25 : x
  2. Step 2: Convert to fraction form
    27,565.88/41,240.25 = 41,240.25/x
  3. Step 3: Cross multiply
    27,565.88x = 41,240.25 × 41,240.25
  4. Step 4: Simplify right side
    27,565.88x = 1,700,758,220.06
  5. Step 5: Solve for x
    x = 1,700,758,220.06/27,565.88
  6. Step 6: Final answer
    x = 61,697.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.