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Finding the Third Proportional to 11,748 and 27,714

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Solution

The third proportional to 11,748 and 27,714 is: 65,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748 : 27,714 = 27,714 : x
  2. Step 2: Convert to fraction form
    11,748/27,714 = 27,714/x
  3. Step 3: Cross multiply
    11,748x = 27,714 × 27,714
  4. Step 4: Simplify right side
    11,748x = 768,065,796
  5. Step 5: Solve for x
    x = 768,065,796/11,748
  6. Step 6: Final answer
    x = 65,378.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.