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Finding the Third Proportional to 2,252.95 and 4,944.66

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Solution

The third proportional to 2,252.95 and 4,944.66 is: 10,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.95 : 4,944.66 = 4,944.66 : x
  2. Step 2: Convert to fraction form
    2,252.95/4,944.66 = 4,944.66/x
  3. Step 3: Cross multiply
    2,252.95x = 4,944.66 × 4,944.66
  4. Step 4: Simplify right side
    2,252.95x = 24,449,625.43
  5. Step 5: Solve for x
    x = 24,449,625.43/2,252.95
  6. Step 6: Final answer
    x = 10,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.