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Finding the Third Proportional to 837.50 and 2,148.25

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Solution

The third proportional to 837.50 and 2,148.25 is: 5,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.50 : 2,148.25 = 2,148.25 : x
  2. Step 2: Convert to fraction form
    837.50/2,148.25 = 2,148.25/x
  3. Step 3: Cross multiply
    837.50x = 2,148.25 × 2,148.25
  4. Step 4: Simplify right side
    837.50x = 4,614,978.06
  5. Step 5: Solve for x
    x = 4,614,978.06/837.50
  6. Step 6: Final answer
    x = 5,510.42

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.