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Finding the Third Proportional to 6,410 and 9,621

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Solution

The third proportional to 6,410 and 9,621 is: 14,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410 : 9,621 = 9,621 : x
  2. Step 2: Convert to fraction form
    6,410/9,621 = 9,621/x
  3. Step 3: Cross multiply
    6,410x = 9,621 × 9,621
  4. Step 4: Simplify right side
    6,410x = 92,563,641
  5. Step 5: Solve for x
    x = 92,563,641/6,410
  6. Step 6: Final answer
    x = 14,440.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.