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Finding the Third Proportional to 6,410 and 8,599

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Solution

The third proportional to 6,410 and 8,599 is: 11,535.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 8,599 = 8,599 : x
  2. Step 2: Convert to fraction form
    6,410/8,599 = 8,599/x
  3. Step 3: Cross multiply
    6,410x = 8,599 × 8,599
  4. Step 4: Simplify right side
    6,410x = 73,942,801
  5. Step 5: Solve for x
    x = 73,942,801/6,410
  6. Step 6: Final answer
    x = 11,535.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.