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Finding the Third Proportional to 10,105.31 and 21,257.02

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Solution

The third proportional to 10,105.31 and 21,257.02 is: 44,715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.31 : 21,257.02 = 21,257.02 : x
  2. Step 2: Convert to fraction form
    10,105.31/21,257.02 = 21,257.02/x
  3. Step 3: Cross multiply
    10,105.31x = 21,257.02 × 21,257.02
  4. Step 4: Simplify right side
    10,105.31x = 451,860,713.28
  5. Step 5: Solve for x
    x = 451,860,713.28/10,105.31
  6. Step 6: Final answer
    x = 44,715.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.