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Finding the Third Proportional to 13,074 and 18,627

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Solution

The third proportional to 13,074 and 18,627 is: 26,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074 : 18,627 = 18,627 : x
  2. Step 2: Convert to fraction form
    13,074/18,627 = 18,627/x
  3. Step 3: Cross multiply
    13,074x = 18,627 × 18,627
  4. Step 4: Simplify right side
    13,074x = 346,965,129
  5. Step 5: Solve for x
    x = 346,965,129/13,074
  6. Step 6: Final answer
    x = 26,538.56

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.