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Finding the Third Proportional to 10,525.78 and 22,738.22

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Solution

The third proportional to 10,525.78 and 22,738.22 is: 49,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.78 : 22,738.22 = 22,738.22 : x
  2. Step 2: Convert to fraction form
    10,525.78/22,738.22 = 22,738.22/x
  3. Step 3: Cross multiply
    10,525.78x = 22,738.22 × 22,738.22
  4. Step 4: Simplify right side
    10,525.78x = 517,026,591.92
  5. Step 5: Solve for x
    x = 517,026,591.92/10,525.78
  6. Step 6: Final answer
    x = 49,120.02

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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.