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Finding the Third Proportional to 2,594.39 and 5,598.85

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Solution

The third proportional to 2,594.39 and 5,598.85 is: 12,082.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.39 : 5,598.85 = 5,598.85 : x
  2. Step 2: Convert to fraction form
    2,594.39/5,598.85 = 5,598.85/x
  3. Step 3: Cross multiply
    2,594.39x = 5,598.85 × 5,598.85
  4. Step 4: Simplify right side
    2,594.39x = 31,347,100.55
  5. Step 5: Solve for x
    x = 31,347,100.55/2,594.39
  6. Step 6: Final answer
    x = 12,082.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.