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Finding the Third Proportional to 5,468.50 and 8,444.50

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Solution

The third proportional to 5,468.50 and 8,444.50 is: 13,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.50 : 8,444.50 = 8,444.50 : x
  2. Step 2: Convert to fraction form
    5,468.50/8,444.50 = 8,444.50/x
  3. Step 3: Cross multiply
    5,468.50x = 8,444.50 × 8,444.50
  4. Step 4: Simplify right side
    5,468.50x = 71,309,580.25
  5. Step 5: Solve for x
    x = 71,309,580.25/5,468.50
  6. Step 6: Final answer
    x = 13,040.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.