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Finding the Third Proportional to 9,863.44 and 21,314.81

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Solution

The third proportional to 9,863.44 and 21,314.81 is: 46,061.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.44 : 21,314.81 = 21,314.81 : x
  2. Step 2: Convert to fraction form
    9,863.44/21,314.81 = 21,314.81/x
  3. Step 3: Cross multiply
    9,863.44x = 21,314.81 × 21,314.81
  4. Step 4: Simplify right side
    9,863.44x = 454,321,231.91
  5. Step 5: Solve for x
    x = 454,321,231.91/9,863.44
  6. Step 6: Final answer
    x = 46,061.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.