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Finding the Third Proportional to 34,429.13 and 72,993

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Solution

The third proportional to 34,429.13 and 72,993 is: 154,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429.13 : 72,993 = 72,993 : x
  2. Step 2: Convert to fraction form
    34,429.13/72,993 = 72,993/x
  3. Step 3: Cross multiply
    34,429.13x = 72,993 × 72,993
  4. Step 4: Simplify right side
    34,429.13x = 5,327,978,049
  5. Step 5: Solve for x
    x = 5,327,978,049/34,429.13
  6. Step 6: Final answer
    x = 154,752.06

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.