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Finding the Third Proportional to 52,608 and 70,879.50

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Solution

The third proportional to 52,608 and 70,879.50 is: 95,496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608 : 70,879.50 = 70,879.50 : x
  2. Step 2: Convert to fraction form
    52,608/70,879.50 = 70,879.50/x
  3. Step 3: Cross multiply
    52,608x = 70,879.50 × 70,879.50
  4. Step 4: Simplify right side
    52,608x = 5,023,903,520.25
  5. Step 5: Solve for x
    x = 5,023,903,520.25/52,608
  6. Step 6: Final answer
    x = 95,496.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.