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Finding the Third Proportional to 2,881.83 and 5,114.39

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Solution

The third proportional to 2,881.83 and 5,114.39 is: 9,076.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.83 : 5,114.39 = 5,114.39 : x
  2. Step 2: Convert to fraction form
    2,881.83/5,114.39 = 5,114.39/x
  3. Step 3: Cross multiply
    2,881.83x = 5,114.39 × 5,114.39
  4. Step 4: Simplify right side
    2,881.83x = 26,156,991.47
  5. Step 5: Solve for x
    x = 26,156,991.47/2,881.83
  6. Step 6: Final answer
    x = 9,076.53

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.