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Finding the Third Proportional to 2,354.06 and 5,118.19

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Solution

The third proportional to 2,354.06 and 5,118.19 is: 11,127.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.06 : 5,118.19 = 5,118.19 : x
  2. Step 2: Convert to fraction form
    2,354.06/5,118.19 = 5,118.19/x
  3. Step 3: Cross multiply
    2,354.06x = 5,118.19 × 5,118.19
  4. Step 4: Simplify right side
    2,354.06x = 26,195,843.29
  5. Step 5: Solve for x
    x = 26,195,843.29/2,354.06
  6. Step 6: Final answer
    x = 11,127.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.