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Finding the Third Proportional to 6,588.56 and 9,872.44

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Solution

The third proportional to 6,588.56 and 9,872.44 is: 14,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.56 : 9,872.44 = 9,872.44 : x
  2. Step 2: Convert to fraction form
    6,588.56/9,872.44 = 9,872.44/x
  3. Step 3: Cross multiply
    6,588.56x = 9,872.44 × 9,872.44
  4. Step 4: Simplify right side
    6,588.56x = 97,465,022.19
  5. Step 5: Solve for x
    x = 97,465,022.19/6,588.56
  6. Step 6: Final answer
    x = 14,793.06

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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.