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Finding the Third Proportional to 7,286 and 10,441

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Solution

The third proportional to 7,286 and 10,441 is: 14,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 10,441 = 10,441 : x
  2. Step 2: Convert to fraction form
    7,286/10,441 = 10,441/x
  3. Step 3: Cross multiply
    7,286x = 10,441 × 10,441
  4. Step 4: Simplify right side
    7,286x = 109,014,481
  5. Step 5: Solve for x
    x = 109,014,481/7,286
  6. Step 6: Final answer
    x = 14,962.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.