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Finding the Third Proportional to 20,057.63 and 31,058.44

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Solution

The third proportional to 20,057.63 and 31,058.44 is: 48,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.63 : 31,058.44 = 31,058.44 : x
  2. Step 2: Convert to fraction form
    20,057.63/31,058.44 = 31,058.44/x
  3. Step 3: Cross multiply
    20,057.63x = 31,058.44 × 31,058.44
  4. Step 4: Simplify right side
    20,057.63x = 964,626,539.94
  5. Step 5: Solve for x
    x = 964,626,539.94/20,057.63
  6. Step 6: Final answer
    x = 48,092.76

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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.