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Finding the Third Proportional to 1,243.62 and 2,681.51

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Solution

The third proportional to 1,243.62 and 2,681.51 is: 5,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.62 : 2,681.51 = 2,681.51 : x
  2. Step 2: Convert to fraction form
    1,243.62/2,681.51 = 2,681.51/x
  3. Step 3: Cross multiply
    1,243.62x = 2,681.51 × 2,681.51
  4. Step 4: Simplify right side
    1,243.62x = 7,190,484.15
  5. Step 5: Solve for x
    x = 7,190,484.15/1,243.62
  6. Step 6: Final answer
    x = 5,781.91

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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.