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Finding the Third Proportional to 4,930.88 and 7,447.57

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Solution

The third proportional to 4,930.88 and 7,447.57 is: 11,248.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.88 : 7,447.57 = 7,447.57 : x
  2. Step 2: Convert to fraction form
    4,930.88/7,447.57 = 7,447.57/x
  3. Step 3: Cross multiply
    4,930.88x = 7,447.57 × 7,447.57
  4. Step 4: Simplify right side
    4,930.88x = 55,466,303.56
  5. Step 5: Solve for x
    x = 55,466,303.56/4,930.88
  6. Step 6: Final answer
    x = 11,248.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.