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Finding the Third Proportional to 48,165 and 63,928.50

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Solution

The third proportional to 48,165 and 63,928.50 is: 84,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165 : 63,928.50 = 63,928.50 : x
  2. Step 2: Convert to fraction form
    48,165/63,928.50 = 63,928.50/x
  3. Step 3: Cross multiply
    48,165x = 63,928.50 × 63,928.50
  4. Step 4: Simplify right side
    48,165x = 4,086,853,112.25
  5. Step 5: Solve for x
    x = 4,086,853,112.25/48,165
  6. Step 6: Final answer
    x = 84,851.10

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.