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Finding the Third Proportional to 837.42 and 2,025.21

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Solution

The third proportional to 837.42 and 2,025.21 is: 4,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 2,025.21 = 2,025.21 : x
  2. Step 2: Convert to fraction form
    837.42/2,025.21 = 2,025.21/x
  3. Step 3: Cross multiply
    837.42x = 2,025.21 × 2,025.21
  4. Step 4: Simplify right side
    837.42x = 4,101,479.34
  5. Step 5: Solve for x
    x = 4,101,479.34/837.42
  6. Step 6: Final answer
    x = 4,897.75

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.