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Finding the Third Proportional to 5,473.20 and 8,466.40

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Solution

The third proportional to 5,473.20 and 8,466.40 is: 13,096.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.20 : 8,466.40 = 8,466.40 : x
  2. Step 2: Convert to fraction form
    5,473.20/8,466.40 = 8,466.40/x
  3. Step 3: Cross multiply
    5,473.20x = 8,466.40 × 8,466.40
  4. Step 4: Simplify right side
    5,473.20x = 71,679,902.50
  5. Step 5: Solve for x
    x = 71,679,902.50/5,473.20
  6. Step 6: Final answer
    x = 13,096.54

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Why These Related Problems?

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