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Finding the Third Proportional to 33,468.75 and 48,360.38

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Solution

The third proportional to 33,468.75 and 48,360.38 is: 69,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468.75 : 48,360.38 = 48,360.38 : x
  2. Step 2: Convert to fraction form
    33,468.75/48,360.38 = 48,360.38/x
  3. Step 3: Cross multiply
    33,468.75x = 48,360.38 × 48,360.38
  4. Step 4: Simplify right side
    33,468.75x = 2,338,725,870.14
  5. Step 5: Solve for x
    x = 2,338,725,870.14/33,468.75
  6. Step 6: Final answer
    x = 69,877.90

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.