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Finding the Third Proportional to 874.69 and 2,354.06

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Solution

The third proportional to 874.69 and 2,354.06 is: 6,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 2,354.06 = 2,354.06 : x
  2. Step 2: Convert to fraction form
    874.69/2,354.06 = 2,354.06/x
  3. Step 3: Cross multiply
    874.69x = 2,354.06 × 2,354.06
  4. Step 4: Simplify right side
    874.69x = 5,541,610.25
  5. Step 5: Solve for x
    x = 5,541,610.25/874.69
  6. Step 6: Final answer
    x = 6,335.53

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.