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Finding the Third Proportional to 2,590.31 and 5,594.48

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Solution

The third proportional to 2,590.31 and 5,594.48 is: 12,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.31 : 5,594.48 = 5,594.48 : x
  2. Step 2: Convert to fraction form
    2,590.31/5,594.48 = 5,594.48/x
  3. Step 3: Cross multiply
    2,590.31x = 5,594.48 × 5,594.48
  4. Step 4: Simplify right side
    2,590.31x = 31,298,255.42
  5. Step 5: Solve for x
    x = 31,298,255.42/2,590.31
  6. Step 6: Final answer
    x = 12,082.81

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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.