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Finding the Third Proportional to 5,451.50 and 8,390.50

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Solution

The third proportional to 5,451.50 and 8,390.50 is: 12,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451.50 : 8,390.50 = 8,390.50 : x
  2. Step 2: Convert to fraction form
    5,451.50/8,390.50 = 8,390.50/x
  3. Step 3: Cross multiply
    5,451.50x = 8,390.50 × 8,390.50
  4. Step 4: Simplify right side
    5,451.50x = 70,400,490.25
  5. Step 5: Solve for x
    x = 70,400,490.25/5,451.50
  6. Step 6: Final answer
    x = 12,913.97

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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.