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Finding the Third Proportional to 8,046 and 10,497

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Solution

The third proportional to 8,046 and 10,497 is: 13,694.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046 : 10,497 = 10,497 : x
  2. Step 2: Convert to fraction form
    8,046/10,497 = 10,497/x
  3. Step 3: Cross multiply
    8,046x = 10,497 × 10,497
  4. Step 4: Simplify right side
    8,046x = 110,187,009
  5. Step 5: Solve for x
    x = 110,187,009/8,046
  6. Step 6: Final answer
    x = 13,694.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.