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Finding the Third Proportional to 6,320.53 and 8,765.72

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Solution

The third proportional to 6,320.53 and 8,765.72 is: 12,156.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.53 : 8,765.72 = 8,765.72 : x
  2. Step 2: Convert to fraction form
    6,320.53/8,765.72 = 8,765.72/x
  3. Step 3: Cross multiply
    6,320.53x = 8,765.72 × 8,765.72
  4. Step 4: Simplify right side
    6,320.53x = 76,837,825.20
  5. Step 5: Solve for x
    x = 76,837,825.20/6,320.53
  6. Step 6: Final answer
    x = 12,156.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.