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Finding the Third Proportional to 20,113.31 and 31,058.44

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Solution

The third proportional to 20,113.31 and 31,058.44 is: 47,959.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.31 : 31,058.44 = 31,058.44 : x
  2. Step 2: Convert to fraction form
    20,113.31/31,058.44 = 31,058.44/x
  3. Step 3: Cross multiply
    20,113.31x = 31,058.44 × 31,058.44
  4. Step 4: Simplify right side
    20,113.31x = 964,626,539.94
  5. Step 5: Solve for x
    x = 964,626,539.94/20,113.31
  6. Step 6: Final answer
    x = 47,959.61

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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.