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Finding the Third Proportional to 837.84 and 1,803.52

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Solution

The third proportional to 837.84 and 1,803.52 is: 3,882.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.84 : 1,803.52 = 1,803.52 : x
  2. Step 2: Convert to fraction form
    837.84/1,803.52 = 1,803.52/x
  3. Step 3: Cross multiply
    837.84x = 1,803.52 × 1,803.52
  4. Step 4: Simplify right side
    837.84x = 3,252,668.61
  5. Step 5: Solve for x
    x = 3,252,668.61/837.84
  6. Step 6: Final answer
    x = 3,882.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.