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Finding the Third Proportional to 1,237.78 and 2,706.47

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Solution

The third proportional to 1,237.78 and 2,706.47 is: 5,917.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.78 : 2,706.47 = 2,706.47 : x
  2. Step 2: Convert to fraction form
    1,237.78/2,706.47 = 2,706.47/x
  3. Step 3: Cross multiply
    1,237.78x = 2,706.47 × 2,706.47
  4. Step 4: Simplify right side
    1,237.78x = 7,324,973.09
  5. Step 5: Solve for x
    x = 7,324,973.09/1,237.78
  6. Step 6: Final answer
    x = 5,917.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.