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Finding the Third Proportional to 20,590.31 and 31,144.88

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Solution

The third proportional to 20,590.31 and 31,144.88 is: 47,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.31 : 31,144.88 = 31,144.88 : x
  2. Step 2: Convert to fraction form
    20,590.31/31,144.88 = 31,144.88/x
  3. Step 3: Cross multiply
    20,590.31x = 31,144.88 × 31,144.88
  4. Step 4: Simplify right side
    20,590.31x = 970,003,238.77
  5. Step 5: Solve for x
    x = 970,003,238.77/20,590.31
  6. Step 6: Final answer
    x = 47,109.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.