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Finding the Third Proportional to 3,472.88 and 7,340.63

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Solution

The third proportional to 3,472.88 and 7,340.63 is: 15,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.88 : 7,340.63 = 7,340.63 : x
  2. Step 2: Convert to fraction form
    3,472.88/7,340.63 = 7,340.63/x
  3. Step 3: Cross multiply
    3,472.88x = 7,340.63 × 7,340.63
  4. Step 4: Simplify right side
    3,472.88x = 53,884,775.39
  5. Step 5: Solve for x
    x = 53,884,775.39/3,472.88
  6. Step 6: Final answer
    x = 15,515.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.