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Finding the Third Proportional to 4,297.65 and 9,112.68

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Solution

The third proportional to 4,297.65 and 9,112.68 is: 19,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.65 : 9,112.68 = 9,112.68 : x
  2. Step 2: Convert to fraction form
    4,297.65/9,112.68 = 9,112.68/x
  3. Step 3: Cross multiply
    4,297.65x = 9,112.68 × 9,112.68
  4. Step 4: Simplify right side
    4,297.65x = 83,040,899.94
  5. Step 5: Solve for x
    x = 83,040,899.94/4,297.65
  6. Step 6: Final answer
    x = 19,322.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.