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Finding the Third Proportional to 43,507.97 and 69,230.25

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Solution

The third proportional to 43,507.97 and 69,230.25 is: 110,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,507.97 : 69,230.25 = 69,230.25 : x
  2. Step 2: Convert to fraction form
    43,507.97/69,230.25 = 69,230.25/x
  3. Step 3: Cross multiply
    43,507.97x = 69,230.25 × 69,230.25
  4. Step 4: Simplify right side
    43,507.97x = 4,792,827,515.06
  5. Step 5: Solve for x
    x = 4,792,827,515.06/43,507.97
  6. Step 6: Final answer
    x = 110,159.76

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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.