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Finding the Third Proportional to 6,402 and 8,651

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Solution

The third proportional to 6,402 and 8,651 is: 11,690.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402 : 8,651 = 8,651 : x
  2. Step 2: Convert to fraction form
    6,402/8,651 = 8,651/x
  3. Step 3: Cross multiply
    6,402x = 8,651 × 8,651
  4. Step 4: Simplify right side
    6,402x = 74,839,801
  5. Step 5: Solve for x
    x = 74,839,801/6,402
  6. Step 6: Final answer
    x = 11,690.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.