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Finding the Third Proportional to 4,273.88 and 6,560.44

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Solution

The third proportional to 4,273.88 and 6,560.44 is: 10,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.88 : 6,560.44 = 6,560.44 : x
  2. Step 2: Convert to fraction form
    4,273.88/6,560.44 = 6,560.44/x
  3. Step 3: Cross multiply
    4,273.88x = 6,560.44 × 6,560.44
  4. Step 4: Simplify right side
    4,273.88x = 43,039,340.19
  5. Step 5: Solve for x
    x = 43,039,340.19/4,273.88
  6. Step 6: Final answer
    x = 10,070.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.