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Finding the Third Proportional to 27,284.34 and 57,871.97

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Solution

The third proportional to 27,284.34 and 57,871.97 is: 122,750.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,284.34 : 57,871.97 = 57,871.97 : x
  2. Step 2: Convert to fraction form
    27,284.34/57,871.97 = 57,871.97/x
  3. Step 3: Cross multiply
    27,284.34x = 57,871.97 × 57,871.97
  4. Step 4: Simplify right side
    27,284.34x = 3,349,164,767.00
  5. Step 5: Solve for x
    x = 3,349,164,767.00/27,284.34
  6. Step 6: Final answer
    x = 122,750.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.