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Finding the Third Proportional to 38,614 and 51,648

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Solution

The third proportional to 38,614 and 51,648 is: 69,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,614 : 51,648 = 51,648 : x
  2. Step 2: Convert to fraction form
    38,614/51,648 = 51,648/x
  3. Step 3: Cross multiply
    38,614x = 51,648 × 51,648
  4. Step 4: Simplify right side
    38,614x = 2,667,515,904
  5. Step 5: Solve for x
    x = 2,667,515,904/38,614
  6. Step 6: Final answer
    x = 69,081.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.