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Finding the Third Proportional to 10,363.88 and 22,206.56

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Solution

The third proportional to 10,363.88 and 22,206.56 is: 47,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,363.88 : 22,206.56 = 22,206.56 : x
  2. Step 2: Convert to fraction form
    10,363.88/22,206.56 = 22,206.56/x
  3. Step 3: Cross multiply
    10,363.88x = 22,206.56 × 22,206.56
  4. Step 4: Simplify right side
    10,363.88x = 493,131,418.07
  5. Step 5: Solve for x
    x = 493,131,418.07/10,363.88
  6. Step 6: Final answer
    x = 47,581.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.