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Finding the Third Proportional to 10,303.88 and 21,940.88

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Solution

The third proportional to 10,303.88 and 21,940.88 is: 46,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,303.88 : 21,940.88 = 21,940.88 : x
  2. Step 2: Convert to fraction form
    10,303.88/21,940.88 = 21,940.88/x
  3. Step 3: Cross multiply
    10,303.88x = 21,940.88 × 21,940.88
  4. Step 4: Simplify right side
    10,303.88x = 481,401,995.77
  5. Step 5: Solve for x
    x = 481,401,995.77/10,303.88
  6. Step 6: Final answer
    x = 46,720.48

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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.