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Finding the Third Proportional to 1,098.19 and 2,351.06

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Solution

The third proportional to 1,098.19 and 2,351.06 is: 5,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.19 : 2,351.06 = 2,351.06 : x
  2. Step 2: Convert to fraction form
    1,098.19/2,351.06 = 2,351.06/x
  3. Step 3: Cross multiply
    1,098.19x = 2,351.06 × 2,351.06
  4. Step 4: Simplify right side
    1,098.19x = 5,527,494.88
  5. Step 5: Solve for x
    x = 5,527,494.88/1,098.19
  6. Step 6: Final answer
    x = 5,033.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.