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Finding the Third Proportional to 5,503.31 and 8,281.03

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Solution

The third proportional to 5,503.31 and 8,281.03 is: 12,460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,503.31 : 8,281.03 = 8,281.03 : x
  2. Step 2: Convert to fraction form
    5,503.31/8,281.03 = 8,281.03/x
  3. Step 3: Cross multiply
    5,503.31x = 8,281.03 × 8,281.03
  4. Step 4: Simplify right side
    5,503.31x = 68,575,478.56
  5. Step 5: Solve for x
    x = 68,575,478.56/5,503.31
  6. Step 6: Final answer
    x = 12,460.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.