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Finding the Third Proportional to 20,058 and 31,055

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Solution

The third proportional to 20,058 and 31,055 is: 48,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 31,055 = 31,055 : x
  2. Step 2: Convert to fraction form
    20,058/31,055 = 31,055/x
  3. Step 3: Cross multiply
    20,058x = 31,055 × 31,055
  4. Step 4: Simplify right side
    20,058x = 964,413,025
  5. Step 5: Solve for x
    x = 964,413,025/20,058
  6. Step 6: Final answer
    x = 48,081.22

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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.