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Finding the Third Proportional to 32,769.56 and 69,411.94

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Solution

The third proportional to 32,769.56 and 69,411.94 is: 147,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.56 : 69,411.94 = 69,411.94 : x
  2. Step 2: Convert to fraction form
    32,769.56/69,411.94 = 69,411.94/x
  3. Step 3: Cross multiply
    32,769.56x = 69,411.94 × 69,411.94
  4. Step 4: Simplify right side
    32,769.56x = 4,818,017,067.50
  5. Step 5: Solve for x
    x = 4,818,017,067.50/32,769.56
  6. Step 6: Final answer
    x = 147,027.20

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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.