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Finding the Third Proportional to 42,102.88 and 63,591.44

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Solution

The third proportional to 42,102.88 and 63,591.44 is: 96,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,102.88 : 63,591.44 = 63,591.44 : x
  2. Step 2: Convert to fraction form
    42,102.88/63,591.44 = 63,591.44/x
  3. Step 3: Cross multiply
    42,102.88x = 63,591.44 × 63,591.44
  4. Step 4: Simplify right side
    42,102.88x = 4,043,870,923.32
  5. Step 5: Solve for x
    x = 4,043,870,923.32/42,102.88
  6. Step 6: Final answer
    x = 96,047.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.