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Finding the Third Proportional to 9,046.69 and 19,640.81

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Solution

The third proportional to 9,046.69 and 19,640.81 is: 42,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.69 : 19,640.81 = 19,640.81 : x
  2. Step 2: Convert to fraction form
    9,046.69/19,640.81 = 19,640.81/x
  3. Step 3: Cross multiply
    9,046.69x = 19,640.81 × 19,640.81
  4. Step 4: Simplify right side
    9,046.69x = 385,761,515.66
  5. Step 5: Solve for x
    x = 385,761,515.66/9,046.69
  6. Step 6: Final answer
    x = 42,641.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.