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Finding the Third Proportional to 4,511 and 10,069

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Solution

The third proportional to 4,511 and 10,069 is: 22,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511 : 10,069 = 10,069 : x
  2. Step 2: Convert to fraction form
    4,511/10,069 = 10,069/x
  3. Step 3: Cross multiply
    4,511x = 10,069 × 10,069
  4. Step 4: Simplify right side
    4,511x = 101,384,761
  5. Step 5: Solve for x
    x = 101,384,761/4,511
  6. Step 6: Final answer
    x = 22,475.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.