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Finding the Third Proportional to 3,944.95 and 6,154.73

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Solution

The third proportional to 3,944.95 and 6,154.73 is: 9,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.95 : 6,154.73 = 6,154.73 : x
  2. Step 2: Convert to fraction form
    3,944.95/6,154.73 = 6,154.73/x
  3. Step 3: Cross multiply
    3,944.95x = 6,154.73 × 6,154.73
  4. Step 4: Simplify right side
    3,944.95x = 37,880,755.23
  5. Step 5: Solve for x
    x = 37,880,755.23/3,944.95
  6. Step 6: Final answer
    x = 9,602.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.