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Finding the Third Proportional to 32,637.94 and 69,206.06

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Solution

The third proportional to 32,637.94 and 69,206.06 is: 146,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,637.94 : 69,206.06 = 69,206.06 : x
  2. Step 2: Convert to fraction form
    32,637.94/69,206.06 = 69,206.06/x
  3. Step 3: Cross multiply
    32,637.94x = 69,206.06 × 69,206.06
  4. Step 4: Simplify right side
    32,637.94x = 4,789,479,086.75
  5. Step 5: Solve for x
    x = 4,789,479,086.75/32,637.94
  6. Step 6: Final answer
    x = 146,745.76

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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.