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Finding the Third Proportional to 6,410 and 8,961

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Solution

The third proportional to 6,410 and 8,961 is: 12,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 8,961 = 8,961 : x
  2. Step 2: Convert to fraction form
    6,410/8,961 = 8,961/x
  3. Step 3: Cross multiply
    6,410x = 8,961 × 8,961
  4. Step 4: Simplify right side
    6,410x = 80,299,521
  5. Step 5: Solve for x
    x = 80,299,521/6,410
  6. Step 6: Final answer
    x = 12,527.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.