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Finding the Third Proportional to 32,259.94 and 69,463.41

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Solution

The third proportional to 32,259.94 and 69,463.41 is: 149,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259.94 : 69,463.41 = 69,463.41 : x
  2. Step 2: Convert to fraction form
    32,259.94/69,463.41 = 69,463.41/x
  3. Step 3: Cross multiply
    32,259.94x = 69,463.41 × 69,463.41
  4. Step 4: Simplify right side
    32,259.94x = 4,825,164,807.85
  5. Step 5: Solve for x
    x = 4,825,164,807.85/32,259.94
  6. Step 6: Final answer
    x = 149,571.42

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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.