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Finding the Third Proportional to 17,774 and 26,987

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Solution

The third proportional to 17,774 and 26,987 is: 40,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774 : 26,987 = 26,987 : x
  2. Step 2: Convert to fraction form
    17,774/26,987 = 26,987/x
  3. Step 3: Cross multiply
    17,774x = 26,987 × 26,987
  4. Step 4: Simplify right side
    17,774x = 728,298,169
  5. Step 5: Solve for x
    x = 728,298,169/17,774
  6. Step 6: Final answer
    x = 40,975.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.