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Finding the Third Proportional to 2,351.95 and 5,141.18

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Solution

The third proportional to 2,351.95 and 5,141.18 is: 11,238.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.95 : 5,141.18 = 5,141.18 : x
  2. Step 2: Convert to fraction form
    2,351.95/5,141.18 = 5,141.18/x
  3. Step 3: Cross multiply
    2,351.95x = 5,141.18 × 5,141.18
  4. Step 4: Simplify right side
    2,351.95x = 26,431,728.58
  5. Step 5: Solve for x
    x = 26,431,728.58/2,351.95
  6. Step 6: Final answer
    x = 11,238.20

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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.