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Finding the Third Proportional to 2,803.57 and 4,338.14

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Solution

The third proportional to 2,803.57 and 4,338.14 is: 6,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.57 : 4,338.14 = 4,338.14 : x
  2. Step 2: Convert to fraction form
    2,803.57/4,338.14 = 4,338.14/x
  3. Step 3: Cross multiply
    2,803.57x = 4,338.14 × 4,338.14
  4. Step 4: Simplify right side
    2,803.57x = 18,819,464.08
  5. Step 5: Solve for x
    x = 18,819,464.08/2,803.57
  6. Step 6: Final answer
    x = 6,712.68

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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.