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Finding the Third Proportional to 6,410 and 7,334

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Solution

The third proportional to 6,410 and 7,334 is: 8,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 7,334 = 7,334 : x
  2. Step 2: Convert to fraction form
    6,410/7,334 = 7,334/x
  3. Step 3: Cross multiply
    6,410x = 7,334 × 7,334
  4. Step 4: Simplify right side
    6,410x = 53,787,556
  5. Step 5: Solve for x
    x = 53,787,556/6,410
  6. Step 6: Final answer
    x = 8,391.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.