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Finding the Third Proportional to 4,038 and 10,011

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Solution

The third proportional to 4,038 and 10,011 is: 24,819.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038 : 10,011 = 10,011 : x
  2. Step 2: Convert to fraction form
    4,038/10,011 = 10,011/x
  3. Step 3: Cross multiply
    4,038x = 10,011 × 10,011
  4. Step 4: Simplify right side
    4,038x = 100,220,121
  5. Step 5: Solve for x
    x = 100,220,121/4,038
  6. Step 6: Final answer
    x = 24,819.25

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.