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Finding the Third Proportional to 23,969.25 and 55,984.50

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Solution

The third proportional to 23,969.25 and 55,984.50 is: 130,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.25 : 55,984.50 = 55,984.50 : x
  2. Step 2: Convert to fraction form
    23,969.25/55,984.50 = 55,984.50/x
  3. Step 3: Cross multiply
    23,969.25x = 55,984.50 × 55,984.50
  4. Step 4: Simplify right side
    23,969.25x = 3,134,264,240.25
  5. Step 5: Solve for x
    x = 3,134,264,240.25/23,969.25
  6. Step 6: Final answer
    x = 130,761.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.