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Finding the Third Proportional to 6,414 and 9,369

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Solution

The third proportional to 6,414 and 9,369 is: 13,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 9,369 = 9,369 : x
  2. Step 2: Convert to fraction form
    6,414/9,369 = 9,369/x
  3. Step 3: Cross multiply
    6,414x = 9,369 × 9,369
  4. Step 4: Simplify right side
    6,414x = 87,778,161
  5. Step 5: Solve for x
    x = 87,778,161/6,414
  6. Step 6: Final answer
    x = 13,685.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.