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Finding the Third Proportional to 32,434.88 and 69,871.50

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Solution

The third proportional to 32,434.88 and 69,871.50 is: 150,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.88 : 69,871.50 = 69,871.50 : x
  2. Step 2: Convert to fraction form
    32,434.88/69,871.50 = 69,871.50/x
  3. Step 3: Cross multiply
    32,434.88x = 69,871.50 × 69,871.50
  4. Step 4: Simplify right side
    32,434.88x = 4,882,026,512.25
  5. Step 5: Solve for x
    x = 4,882,026,512.25/32,434.88
  6. Step 6: Final answer
    x = 150,517.81

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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.