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Finding the Third Proportional to 43,506.84 and 69,228.56

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Solution

The third proportional to 43,506.84 and 69,228.56 is: 110,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506.84 : 69,228.56 = 69,228.56 : x
  2. Step 2: Convert to fraction form
    43,506.84/69,228.56 = 69,228.56/x
  3. Step 3: Cross multiply
    43,506.84x = 69,228.56 × 69,228.56
  4. Step 4: Simplify right side
    43,506.84x = 4,792,593,865.82
  5. Step 5: Solve for x
    x = 4,792,593,865.82/43,506.84
  6. Step 6: Final answer
    x = 110,157.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.