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Finding the Third Proportional to 20,058 and 31,196.25

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Solution

The third proportional to 20,058 and 31,196.25 is: 48,519.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,058 : 31,196.25 = 31,196.25 : x
  2. Step 2: Convert to fraction form
    20,058/31,196.25 = 31,196.25/x
  3. Step 3: Cross multiply
    20,058x = 31,196.25 × 31,196.25
  4. Step 4: Simplify right side
    20,058x = 973,206,014.06
  5. Step 5: Solve for x
    x = 973,206,014.06/20,058
  6. Step 6: Final answer
    x = 48,519.59

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.