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Finding the Third Proportional to 1,098.84 and 2,371.08

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Solution

The third proportional to 1,098.84 and 2,371.08 is: 5,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.84 : 2,371.08 = 2,371.08 : x
  2. Step 2: Convert to fraction form
    1,098.84/2,371.08 = 2,371.08/x
  3. Step 3: Cross multiply
    1,098.84x = 2,371.08 × 2,371.08
  4. Step 4: Simplify right side
    1,098.84x = 5,622,011.47
  5. Step 5: Solve for x
    x = 5,622,011.47/1,098.84
  6. Step 6: Final answer
    x = 5,116.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.