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Finding the Third Proportional to 6,508 and 10,094

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Solution

The third proportional to 6,508 and 10,094 is: 15,655.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 10,094 = 10,094 : x
  2. Step 2: Convert to fraction form
    6,508/10,094 = 10,094/x
  3. Step 3: Cross multiply
    6,508x = 10,094 × 10,094
  4. Step 4: Simplify right side
    6,508x = 101,888,836
  5. Step 5: Solve for x
    x = 101,888,836/6,508
  6. Step 6: Final answer
    x = 15,655.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.