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Finding the Third Proportional to 40,612.50 and 62,504

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Solution

The third proportional to 40,612.50 and 62,504 is: 96,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,612.50 : 62,504 = 62,504 : x
  2. Step 2: Convert to fraction form
    40,612.50/62,504 = 62,504/x
  3. Step 3: Cross multiply
    40,612.50x = 62,504 × 62,504
  4. Step 4: Simplify right side
    40,612.50x = 3,906,750,016
  5. Step 5: Solve for x
    x = 3,906,750,016/40,612.50
  6. Step 6: Final answer
    x = 96,195.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.