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Finding the Third Proportional to 3,472.88 and 4,715.72

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Solution

The third proportional to 3,472.88 and 4,715.72 is: 6,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.88 : 4,715.72 = 4,715.72 : x
  2. Step 2: Convert to fraction form
    3,472.88/4,715.72 = 4,715.72/x
  3. Step 3: Cross multiply
    3,472.88x = 4,715.72 × 4,715.72
  4. Step 4: Simplify right side
    3,472.88x = 22,238,003.33
  5. Step 5: Solve for x
    x = 22,238,003.33/3,472.88
  6. Step 6: Final answer
    x = 6,403.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.