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Finding the Third Proportional to 32,471.44 and 69,795.28

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Solution

The third proportional to 32,471.44 and 69,795.28 is: 150,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.44 : 69,795.28 = 69,795.28 : x
  2. Step 2: Convert to fraction form
    32,471.44/69,795.28 = 69,795.28/x
  3. Step 3: Cross multiply
    32,471.44x = 69,795.28 × 69,795.28
  4. Step 4: Simplify right side
    32,471.44x = 4,871,381,284.77
  5. Step 5: Solve for x
    x = 4,871,381,284.77/32,471.44
  6. Step 6: Final answer
    x = 150,020.50

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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.