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Finding the Third Proportional to 2,278.13 and 4,955.91

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Solution

The third proportional to 2,278.13 and 4,955.91 is: 10,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.13 : 4,955.91 = 4,955.91 : x
  2. Step 2: Convert to fraction form
    2,278.13/4,955.91 = 4,955.91/x
  3. Step 3: Cross multiply
    2,278.13x = 4,955.91 × 4,955.91
  4. Step 4: Simplify right side
    2,278.13x = 24,561,006.76
  5. Step 5: Solve for x
    x = 24,561,006.76/2,278.13
  6. Step 6: Final answer
    x = 10,781.24

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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.