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Finding the Third Proportional to 6,902 and 10,534

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Solution

The third proportional to 6,902 and 10,534 is: 16,077.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902 : 10,534 = 10,534 : x
  2. Step 2: Convert to fraction form
    6,902/10,534 = 10,534/x
  3. Step 3: Cross multiply
    6,902x = 10,534 × 10,534
  4. Step 4: Simplify right side
    6,902x = 110,965,156
  5. Step 5: Solve for x
    x = 110,965,156/6,902
  6. Step 6: Final answer
    x = 16,077.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.