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Finding the Third Proportional to 10,302 and 24,699

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Solution

The third proportional to 10,302 and 24,699 is: 59,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302 : 24,699 = 24,699 : x
  2. Step 2: Convert to fraction form
    10,302/24,699 = 24,699/x
  3. Step 3: Cross multiply
    10,302x = 24,699 × 24,699
  4. Step 4: Simplify right side
    10,302x = 610,040,601
  5. Step 5: Solve for x
    x = 610,040,601/10,302
  6. Step 6: Final answer
    x = 59,215.74

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.