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Finding the Third Proportional to 10,054.13 and 21,443.48

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Solution

The third proportional to 10,054.13 and 21,443.48 is: 45,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 21,443.48 = 21,443.48 : x
  2. Step 2: Convert to fraction form
    10,054.13/21,443.48 = 21,443.48/x
  3. Step 3: Cross multiply
    10,054.13x = 21,443.48 × 21,443.48
  4. Step 4: Simplify right side
    10,054.13x = 459,823,022.14
  5. Step 5: Solve for x
    x = 459,823,022.14/10,054.13
  6. Step 6: Final answer
    x = 45,734.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.