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Finding the Third Proportional to 10,035 and 21,699

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Solution

The third proportional to 10,035 and 21,699 is: 46,920.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 21,699 = 21,699 : x
  2. Step 2: Convert to fraction form
    10,035/21,699 = 21,699/x
  3. Step 3: Cross multiply
    10,035x = 21,699 × 21,699
  4. Step 4: Simplify right side
    10,035x = 470,846,601
  5. Step 5: Solve for x
    x = 470,846,601/10,035
  6. Step 6: Final answer
    x = 46,920.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.