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Finding the Third Proportional to 5,248.55 and 7,472.67

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Solution

The third proportional to 5,248.55 and 7,472.67 is: 10,639.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.55 : 7,472.67 = 7,472.67 : x
  2. Step 2: Convert to fraction form
    5,248.55/7,472.67 = 7,472.67/x
  3. Step 3: Cross multiply
    5,248.55x = 7,472.67 × 7,472.67
  4. Step 4: Simplify right side
    5,248.55x = 55,840,824.95
  5. Step 5: Solve for x
    x = 55,840,824.95/5,248.55
  6. Step 6: Final answer
    x = 10,639.29

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.