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Finding the Third Proportional to 20,058 and 42,186

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Solution

The third proportional to 20,058 and 42,186 is: 88,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 42,186 = 42,186 : x
  2. Step 2: Convert to fraction form
    20,058/42,186 = 42,186/x
  3. Step 3: Cross multiply
    20,058x = 42,186 × 42,186
  4. Step 4: Simplify right side
    20,058x = 1,779,658,596
  5. Step 5: Solve for x
    x = 1,779,658,596/20,058
  6. Step 6: Final answer
    x = 88,725.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.