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Finding the Third Proportional to 27,017.75 and 58,197

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Solution

The third proportional to 27,017.75 and 58,197 is: 125,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,017.75 : 58,197 = 58,197 : x
  2. Step 2: Convert to fraction form
    27,017.75/58,197 = 58,197/x
  3. Step 3: Cross multiply
    27,017.75x = 58,197 × 58,197
  4. Step 4: Simplify right side
    27,017.75x = 3,386,890,809
  5. Step 5: Solve for x
    x = 3,386,890,809/27,017.75
  6. Step 6: Final answer
    x = 125,357.99

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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.