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Finding the Third Proportional to 27,721.75 and 59,594.50

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Solution

The third proportional to 27,721.75 and 59,594.50 is: 128,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721.75 : 59,594.50 = 59,594.50 : x
  2. Step 2: Convert to fraction form
    27,721.75/59,594.50 = 59,594.50/x
  3. Step 3: Cross multiply
    27,721.75x = 59,594.50 × 59,594.50
  4. Step 4: Simplify right side
    27,721.75x = 3,551,504,430.25
  5. Step 5: Solve for x
    x = 3,551,504,430.25/27,721.75
  6. Step 6: Final answer
    x = 128,112.56

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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.