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Finding the Third Proportional to 27,217.90 and 61,543.55

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Solution

The third proportional to 27,217.90 and 61,543.55 is: 139,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,217.90 : 61,543.55 = 61,543.55 : x
  2. Step 2: Convert to fraction form
    27,217.90/61,543.55 = 61,543.55/x
  3. Step 3: Cross multiply
    27,217.90x = 61,543.55 × 61,543.55
  4. Step 4: Simplify right side
    27,217.90x = 3,787,608,161.96
  5. Step 5: Solve for x
    x = 3,787,608,161.96/27,217.90
  6. Step 6: Final answer
    x = 139,158.73

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.