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Finding the Third Proportional to 8,240.25 and 17,064.56

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Solution

The third proportional to 8,240.25 and 17,064.56 is: 35,338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,240.25 : 17,064.56 = 17,064.56 : x
  2. Step 2: Convert to fraction form
    8,240.25/17,064.56 = 17,064.56/x
  3. Step 3: Cross multiply
    8,240.25x = 17,064.56 × 17,064.56
  4. Step 4: Simplify right side
    8,240.25x = 291,199,293.32
  5. Step 5: Solve for x
    x = 291,199,293.32/8,240.25
  6. Step 6: Final answer
    x = 35,338.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.