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Finding the Third Proportional to 2,833.66 and 4,402.48

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Solution

The third proportional to 2,833.66 and 4,402.48 is: 6,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.66 : 4,402.48 = 4,402.48 : x
  2. Step 2: Convert to fraction form
    2,833.66/4,402.48 = 4,402.48/x
  3. Step 3: Cross multiply
    2,833.66x = 4,402.48 × 4,402.48
  4. Step 4: Simplify right side
    2,833.66x = 19,381,799.88
  5. Step 5: Solve for x
    x = 19,381,799.88/2,833.66
  6. Step 6: Final answer
    x = 6,839.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.