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Finding the Third Proportional to 2,252.18 and 4,913.79

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Solution

The third proportional to 2,252.18 and 4,913.79 is: 10,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.18 : 4,913.79 = 4,913.79 : x
  2. Step 2: Convert to fraction form
    2,252.18/4,913.79 = 4,913.79/x
  3. Step 3: Cross multiply
    2,252.18x = 4,913.79 × 4,913.79
  4. Step 4: Simplify right side
    2,252.18x = 24,145,322.95
  5. Step 5: Solve for x
    x = 24,145,322.95/2,252.18
  6. Step 6: Final answer
    x = 10,720.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.