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Finding the Third Proportional to 1,917.42 and 3,237.79

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Solution

The third proportional to 1,917.42 and 3,237.79 is: 5,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.42 : 3,237.79 = 3,237.79 : x
  2. Step 2: Convert to fraction form
    1,917.42/3,237.79 = 3,237.79/x
  3. Step 3: Cross multiply
    1,917.42x = 3,237.79 × 3,237.79
  4. Step 4: Simplify right side
    1,917.42x = 10,483,252.72
  5. Step 5: Solve for x
    x = 10,483,252.72/1,917.42
  6. Step 6: Final answer
    x = 5,467.37

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.