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Finding the Third Proportional to 22,062.38 and 47,648.25

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Solution

The third proportional to 22,062.38 and 47,648.25 is: 102,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,062.38 : 47,648.25 = 47,648.25 : x
  2. Step 2: Convert to fraction form
    22,062.38/47,648.25 = 47,648.25/x
  3. Step 3: Cross multiply
    22,062.38x = 47,648.25 × 47,648.25
  4. Step 4: Simplify right side
    22,062.38x = 2,270,355,728.06
  5. Step 5: Solve for x
    x = 2,270,355,728.06/22,062.38
  6. Step 6: Final answer
    x = 102,906.23

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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.