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Finding the Third Proportional to 27,231 and 58,985.25

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Solution

The third proportional to 27,231 and 58,985.25 is: 127,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231 : 58,985.25 = 58,985.25 : x
  2. Step 2: Convert to fraction form
    27,231/58,985.25 = 58,985.25/x
  3. Step 3: Cross multiply
    27,231x = 58,985.25 × 58,985.25
  4. Step 4: Simplify right side
    27,231x = 3,479,259,717.56
  5. Step 5: Solve for x
    x = 3,479,259,717.56/27,231
  6. Step 6: Final answer
    x = 127,768.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.