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Finding the Third Proportional to 40,701.75 and 62,896.88

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Solution

The third proportional to 40,701.75 and 62,896.88 is: 97,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,701.75 : 62,896.88 = 62,896.88 : x
  2. Step 2: Convert to fraction form
    40,701.75/62,896.88 = 62,896.88/x
  3. Step 3: Cross multiply
    40,701.75x = 62,896.88 × 62,896.88
  4. Step 4: Simplify right side
    40,701.75x = 3,956,016,884.77
  5. Step 5: Solve for x
    x = 3,956,016,884.77/40,701.75
  6. Step 6: Final answer
    x = 97,195.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.