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Finding the Third Proportional to 27,122.25 and 41,911.88

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Solution

The third proportional to 27,122.25 and 41,911.88 is: 64,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.25 : 41,911.88 = 41,911.88 : x
  2. Step 2: Convert to fraction form
    27,122.25/41,911.88 = 41,911.88/x
  3. Step 3: Cross multiply
    27,122.25x = 41,911.88 × 41,911.88
  4. Step 4: Simplify right side
    27,122.25x = 1,756,605,266.02
  5. Step 5: Solve for x
    x = 1,756,605,266.02/27,122.25
  6. Step 6: Final answer
    x = 64,766.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.