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Finding the Third Proportional to 6,872.34 and 10,593.28

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Solution

The third proportional to 6,872.34 and 10,593.28 is: 16,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.34 : 10,593.28 = 10,593.28 : x
  2. Step 2: Convert to fraction form
    6,872.34/10,593.28 = 10,593.28/x
  3. Step 3: Cross multiply
    6,872.34x = 10,593.28 × 10,593.28
  4. Step 4: Simplify right side
    6,872.34x = 112,217,607.64
  5. Step 5: Solve for x
    x = 112,217,607.64/6,872.34
  6. Step 6: Final answer
    x = 16,328.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.