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Finding the Third Proportional to 2,818.13 and 5,560.31

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Solution

The third proportional to 2,818.13 and 5,560.31 is: 10,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.13 : 5,560.31 = 5,560.31 : x
  2. Step 2: Convert to fraction form
    2,818.13/5,560.31 = 5,560.31/x
  3. Step 3: Cross multiply
    2,818.13x = 5,560.31 × 5,560.31
  4. Step 4: Simplify right side
    2,818.13x = 30,917,075.10
  5. Step 5: Solve for x
    x = 30,917,075.10/2,818.13
  6. Step 6: Final answer
    x = 10,970.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.