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Finding the Third Proportional to 13,116 and 27,714

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Solution

The third proportional to 13,116 and 27,714 is: 58,559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,116 : 27,714 = 27,714 : x
  2. Step 2: Convert to fraction form
    13,116/27,714 = 27,714/x
  3. Step 3: Cross multiply
    13,116x = 27,714 × 27,714
  4. Step 4: Simplify right side
    13,116x = 768,065,796
  5. Step 5: Solve for x
    x = 768,065,796/13,116
  6. Step 6: Final answer
    x = 58,559.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.