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Finding the Third Proportional to 5,468.63 and 8,476.31

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Solution

The third proportional to 5,468.63 and 8,476.31 is: 13,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,468.63 : 8,476.31 = 8,476.31 : x
  2. Step 2: Convert to fraction form
    5,468.63/8,476.31 = 8,476.31/x
  3. Step 3: Cross multiply
    5,468.63x = 8,476.31 × 8,476.31
  4. Step 4: Simplify right side
    5,468.63x = 71,847,873.60
  5. Step 5: Solve for x
    x = 71,847,873.60/5,468.63
  6. Step 6: Final answer
    x = 13,138.20

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.