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Finding the Third Proportional to 47,648.25 and 63,696.38

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Solution

The third proportional to 47,648.25 and 63,696.38 is: 85,149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,648.25 : 63,696.38 = 63,696.38 : x
  2. Step 2: Convert to fraction form
    47,648.25/63,696.38 = 63,696.38/x
  3. Step 3: Cross multiply
    47,648.25x = 63,696.38 × 63,696.38
  4. Step 4: Simplify right side
    47,648.25x = 4,057,228,188.14
  5. Step 5: Solve for x
    x = 4,057,228,188.14/47,648.25
  6. Step 6: Final answer
    x = 85,149.57

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.