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Finding the Third Proportional to 29,194.25 and 60,464.50

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Solution

The third proportional to 29,194.25 and 60,464.50 is: 125,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,194.25 : 60,464.50 = 60,464.50 : x
  2. Step 2: Convert to fraction form
    29,194.25/60,464.50 = 60,464.50/x
  3. Step 3: Cross multiply
    29,194.25x = 60,464.50 × 60,464.50
  4. Step 4: Simplify right side
    29,194.25x = 3,655,955,760.25
  5. Step 5: Solve for x
    x = 3,655,955,760.25/29,194.25
  6. Step 6: Final answer
    x = 125,228.62

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.