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Finding the Third Proportional to 10,249 and 14,515

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Solution

The third proportional to 10,249 and 14,515 is: 20,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249 : 14,515 = 14,515 : x
  2. Step 2: Convert to fraction form
    10,249/14,515 = 14,515/x
  3. Step 3: Cross multiply
    10,249x = 14,515 × 14,515
  4. Step 4: Simplify right side
    10,249x = 210,685,225
  5. Step 5: Solve for x
    x = 210,685,225/10,249
  6. Step 6: Final answer
    x = 20,556.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.