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Finding the Third Proportional to 27,665.25 and 60,021.75

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Solution

The third proportional to 27,665.25 and 60,021.75 is: 130,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.25 : 60,021.75 = 60,021.75 : x
  2. Step 2: Convert to fraction form
    27,665.25/60,021.75 = 60,021.75/x
  3. Step 3: Cross multiply
    27,665.25x = 60,021.75 × 60,021.75
  4. Step 4: Simplify right side
    27,665.25x = 3,602,610,473.06
  5. Step 5: Solve for x
    x = 3,602,610,473.06/27,665.25
  6. Step 6: Final answer
    x = 130,221.50

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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.