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Finding the Third Proportional to 30,811.03 and 63,082.31

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Solution

The third proportional to 30,811.03 and 63,082.31 is: 129,154.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.03 : 63,082.31 = 63,082.31 : x
  2. Step 2: Convert to fraction form
    30,811.03/63,082.31 = 63,082.31/x
  3. Step 3: Cross multiply
    30,811.03x = 63,082.31 × 63,082.31
  4. Step 4: Simplify right side
    30,811.03x = 3,979,378,150.35
  5. Step 5: Solve for x
    x = 3,979,378,150.35/30,811.03
  6. Step 6: Final answer
    x = 129,154.33

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.