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Finding the Third Proportional to 641.81 and 1,386.09

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Solution

The third proportional to 641.81 and 1,386.09 is: 2,993.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.81 : 1,386.09 = 1,386.09 : x
  2. Step 2: Convert to fraction form
    641.81/1,386.09 = 1,386.09/x
  3. Step 3: Cross multiply
    641.81x = 1,386.09 × 1,386.09
  4. Step 4: Simplify right side
    641.81x = 1,921,255.88
  5. Step 5: Solve for x
    x = 1,921,255.88/641.81
  6. Step 6: Final answer
    x = 2,993.48

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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.