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Finding the Third Proportional to 53,449.50 and 71,993

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Solution

The third proportional to 53,449.50 and 71,993 is: 96,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449.50 : 71,993 = 71,993 : x
  2. Step 2: Convert to fraction form
    53,449.50/71,993 = 71,993/x
  3. Step 3: Cross multiply
    53,449.50x = 71,993 × 71,993
  4. Step 4: Simplify right side
    53,449.50x = 5,182,992,049
  5. Step 5: Solve for x
    x = 5,182,992,049/53,449.50
  6. Step 6: Final answer
    x = 96,969.89

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.