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Finding the Third Proportional to 1,098.56 and 2,386.97

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Solution

The third proportional to 1,098.56 and 2,386.97 is: 5,186.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.56 : 2,386.97 = 2,386.97 : x
  2. Step 2: Convert to fraction form
    1,098.56/2,386.97 = 2,386.97/x
  3. Step 3: Cross multiply
    1,098.56x = 2,386.97 × 2,386.97
  4. Step 4: Simplify right side
    1,098.56x = 5,697,619.81
  5. Step 5: Solve for x
    x = 5,697,619.81/1,098.56
  6. Step 6: Final answer
    x = 5,186.43

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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.