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Finding the Third Proportional to 11,945 and 26,113

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Solution

The third proportional to 11,945 and 26,113 is: 57,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945 : 26,113 = 26,113 : x
  2. Step 2: Convert to fraction form
    11,945/26,113 = 26,113/x
  3. Step 3: Cross multiply
    11,945x = 26,113 × 26,113
  4. Step 4: Simplify right side
    11,945x = 681,888,769
  5. Step 5: Solve for x
    x = 681,888,769/11,945
  6. Step 6: Final answer
    x = 57,085.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.