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Finding the Third Proportional to 5,281.88 and 7,676.44

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Solution

The third proportional to 5,281.88 and 7,676.44 is: 11,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.88 : 7,676.44 = 7,676.44 : x
  2. Step 2: Convert to fraction form
    5,281.88/7,676.44 = 7,676.44/x
  3. Step 3: Cross multiply
    5,281.88x = 7,676.44 × 7,676.44
  4. Step 4: Simplify right side
    5,281.88x = 58,927,692.69
  5. Step 5: Solve for x
    x = 58,927,692.69/5,281.88
  6. Step 6: Final answer
    x = 11,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.