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Finding the Third Proportional to 4,841.44 and 10,207.69

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Solution

The third proportional to 4,841.44 and 10,207.69 is: 21,521.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.44 : 10,207.69 = 10,207.69 : x
  2. Step 2: Convert to fraction form
    4,841.44/10,207.69 = 10,207.69/x
  3. Step 3: Cross multiply
    4,841.44x = 10,207.69 × 10,207.69
  4. Step 4: Simplify right side
    4,841.44x = 104,196,884.10
  5. Step 5: Solve for x
    x = 104,196,884.10/4,841.44
  6. Step 6: Final answer
    x = 21,521.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.