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Finding the Third Proportional to 9,811.06 and 21,443.44

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Solution

The third proportional to 9,811.06 and 21,443.44 is: 46,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.06 : 21,443.44 = 21,443.44 : x
  2. Step 2: Convert to fraction form
    9,811.06/21,443.44 = 21,443.44/x
  3. Step 3: Cross multiply
    9,811.06x = 21,443.44 × 21,443.44
  4. Step 4: Simplify right side
    9,811.06x = 459,821,011.82
  5. Step 5: Solve for x
    x = 459,821,011.82/9,811.06
  6. Step 6: Final answer
    x = 46,867.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.