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Finding the Third Proportional to 4,881.83 and 10,469.88

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Solution

The third proportional to 4,881.83 and 10,469.88 is: 22,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.83 : 10,469.88 = 10,469.88 : x
  2. Step 2: Convert to fraction form
    4,881.83/10,469.88 = 10,469.88/x
  3. Step 3: Cross multiply
    4,881.83x = 10,469.88 × 10,469.88
  4. Step 4: Simplify right side
    4,881.83x = 109,618,446.11
  5. Step 5: Solve for x
    x = 109,618,446.11/4,881.83
  6. Step 6: Final answer
    x = 22,454.37

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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.