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Finding the Third Proportional to 22,195.13 and 47,963.25

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Solution

The third proportional to 22,195.13 and 47,963.25 is: 103,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,195.13 : 47,963.25 = 47,963.25 : x
  2. Step 2: Convert to fraction form
    22,195.13/47,963.25 = 47,963.25/x
  3. Step 3: Cross multiply
    22,195.13x = 47,963.25 × 47,963.25
  4. Step 4: Simplify right side
    22,195.13x = 2,300,473,350.56
  5. Step 5: Solve for x
    x = 2,300,473,350.56/22,195.13
  6. Step 6: Final answer
    x = 103,647.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.