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Finding the Third Proportional to 10,224.56 and 22,401.56

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Solution

The third proportional to 10,224.56 and 22,401.56 is: 49,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.56 : 22,401.56 = 22,401.56 : x
  2. Step 2: Convert to fraction form
    10,224.56/22,401.56 = 22,401.56/x
  3. Step 3: Cross multiply
    10,224.56x = 22,401.56 × 22,401.56
  4. Step 4: Simplify right side
    10,224.56x = 501,830,002.44
  5. Step 5: Solve for x
    x = 501,830,002.44/10,224.56
  6. Step 6: Final answer
    x = 49,080.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.