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Finding the Third Proportional to 43,364.25 and 69,329.25

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Solution

The third proportional to 43,364.25 and 69,329.25 is: 110,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,364.25 : 69,329.25 = 69,329.25 : x
  2. Step 2: Convert to fraction form
    43,364.25/69,329.25 = 69,329.25/x
  3. Step 3: Cross multiply
    43,364.25x = 69,329.25 × 69,329.25
  4. Step 4: Simplify right side
    43,364.25x = 4,806,544,905.56
  5. Step 5: Solve for x
    x = 4,806,544,905.56/43,364.25
  6. Step 6: Final answer
    x = 110,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.