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Finding the Third Proportional to 2,221.50 and 3,468

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Solution

The third proportional to 2,221.50 and 3,468 is: 5,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.50 : 3,468 = 3,468 : x
  2. Step 2: Convert to fraction form
    2,221.50/3,468 = 3,468/x
  3. Step 3: Cross multiply
    2,221.50x = 3,468 × 3,468
  4. Step 4: Simplify right side
    2,221.50x = 12,027,024
  5. Step 5: Solve for x
    x = 12,027,024/2,221.50
  6. Step 6: Final answer
    x = 5,413.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.