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Finding the Third Proportional to 31,823.25 and 68,565

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Solution

The third proportional to 31,823.25 and 68,565 is: 147,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823.25 : 68,565 = 68,565 : x
  2. Step 2: Convert to fraction form
    31,823.25/68,565 = 68,565/x
  3. Step 3: Cross multiply
    31,823.25x = 68,565 × 68,565
  4. Step 4: Simplify right side
    31,823.25x = 4,701,159,225
  5. Step 5: Solve for x
    x = 4,701,159,225/31,823.25
  6. Step 6: Final answer
    x = 147,727.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.