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Finding the Third Proportional to 11,959 and 26,102

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Solution

The third proportional to 11,959 and 26,102 is: 56,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959 : 26,102 = 26,102 : x
  2. Step 2: Convert to fraction form
    11,959/26,102 = 26,102/x
  3. Step 3: Cross multiply
    11,959x = 26,102 × 26,102
  4. Step 4: Simplify right side
    11,959x = 681,314,404
  5. Step 5: Solve for x
    x = 681,314,404/11,959
  6. Step 6: Final answer
    x = 56,970.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.