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Finding the Third Proportional to 11,668 and 13,332

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Solution

The third proportional to 11,668 and 13,332 is: 15,233.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668 : 13,332 = 13,332 : x
  2. Step 2: Convert to fraction form
    11,668/13,332 = 13,332/x
  3. Step 3: Cross multiply
    11,668x = 13,332 × 13,332
  4. Step 4: Simplify right side
    11,668x = 177,742,224
  5. Step 5: Solve for x
    x = 177,742,224/11,668
  6. Step 6: Final answer
    x = 15,233.31

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.