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Finding the Third Proportional to 6,731 and 10,506

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Solution

The third proportional to 6,731 and 10,506 is: 16,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731 : 10,506 = 10,506 : x
  2. Step 2: Convert to fraction form
    6,731/10,506 = 10,506/x
  3. Step 3: Cross multiply
    6,731x = 10,506 × 10,506
  4. Step 4: Simplify right side
    6,731x = 110,376,036
  5. Step 5: Solve for x
    x = 110,376,036/6,731
  6. Step 6: Final answer
    x = 16,398.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.