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Finding the Third Proportional to 43,669.50 and 69,260.25

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Solution

The third proportional to 43,669.50 and 69,260.25 is: 109,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,669.50 : 69,260.25 = 69,260.25 : x
  2. Step 2: Convert to fraction form
    43,669.50/69,260.25 = 69,260.25/x
  3. Step 3: Cross multiply
    43,669.50x = 69,260.25 × 69,260.25
  4. Step 4: Simplify right side
    43,669.50x = 4,796,982,230.06
  5. Step 5: Solve for x
    x = 4,796,982,230.06/43,669.50
  6. Step 6: Final answer
    x = 109,847.43

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Why These Related Problems?

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