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Finding the Third Proportional to 6,334 and 9,466

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Solution

The third proportional to 6,334 and 9,466 is: 14,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334 : 9,466 = 9,466 : x
  2. Step 2: Convert to fraction form
    6,334/9,466 = 9,466/x
  3. Step 3: Cross multiply
    6,334x = 9,466 × 9,466
  4. Step 4: Simplify right side
    6,334x = 89,605,156
  5. Step 5: Solve for x
    x = 89,605,156/6,334
  6. Step 6: Final answer
    x = 14,146.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.