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Finding the Third Proportional to 10,367 and 26,584

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Solution

The third proportional to 10,367 and 26,584 is: 68,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367 : 26,584 = 26,584 : x
  2. Step 2: Convert to fraction form
    10,367/26,584 = 26,584/x
  3. Step 3: Cross multiply
    10,367x = 26,584 × 26,584
  4. Step 4: Simplify right side
    10,367x = 706,709,056
  5. Step 5: Solve for x
    x = 706,709,056/10,367
  6. Step 6: Final answer
    x = 68,169.10

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.