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Finding the Third Proportional to 10,173.52 and 21,126.66

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Solution

The third proportional to 10,173.52 and 21,126.66 is: 43,872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.52 : 21,126.66 = 21,126.66 : x
  2. Step 2: Convert to fraction form
    10,173.52/21,126.66 = 21,126.66/x
  3. Step 3: Cross multiply
    10,173.52x = 21,126.66 × 21,126.66
  4. Step 4: Simplify right side
    10,173.52x = 446,335,604.31
  5. Step 5: Solve for x
    x = 446,335,604.31/10,173.52
  6. Step 6: Final answer
    x = 43,872.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.