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Finding the Third Proportional to 5,281.88 and 8,226.14

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Solution

The third proportional to 5,281.88 and 8,226.14 is: 12,811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.88 : 8,226.14 = 8,226.14 : x
  2. Step 2: Convert to fraction form
    5,281.88/8,226.14 = 8,226.14/x
  3. Step 3: Cross multiply
    5,281.88x = 8,226.14 × 8,226.14
  4. Step 4: Simplify right side
    5,281.88x = 67,669,389.58
  5. Step 5: Solve for x
    x = 67,669,389.58/5,281.88
  6. Step 6: Final answer
    x = 12,811.62

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Why These Related Problems?

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