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Finding the Third Proportional to 6,414 and 13,332

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Solution

The third proportional to 6,414 and 13,332 is: 27,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 13,332 = 13,332 : x
  2. Step 2: Convert to fraction form
    6,414/13,332 = 13,332/x
  3. Step 3: Cross multiply
    6,414x = 13,332 × 13,332
  4. Step 4: Simplify right side
    6,414x = 177,742,224
  5. Step 5: Solve for x
    x = 177,742,224/6,414
  6. Step 6: Final answer
    x = 27,711.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.