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Finding the Third Proportional to 43,805.25 and 69,455.25

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Solution

The third proportional to 43,805.25 and 69,455.25 is: 110,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805.25 : 69,455.25 = 69,455.25 : x
  2. Step 2: Convert to fraction form
    43,805.25/69,455.25 = 69,455.25/x
  3. Step 3: Cross multiply
    43,805.25x = 69,455.25 × 69,455.25
  4. Step 4: Simplify right side
    43,805.25x = 4,824,031,752.56
  5. Step 5: Solve for x
    x = 4,824,031,752.56/43,805.25
  6. Step 6: Final answer
    x = 110,124.51

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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.