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Finding the Third Proportional to 11,091 and 23,959

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Solution

The third proportional to 11,091 and 23,959 is: 51,756.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091 : 23,959 = 23,959 : x
  2. Step 2: Convert to fraction form
    11,091/23,959 = 23,959/x
  3. Step 3: Cross multiply
    11,091x = 23,959 × 23,959
  4. Step 4: Simplify right side
    11,091x = 574,033,681
  5. Step 5: Solve for x
    x = 574,033,681/11,091
  6. Step 6: Final answer
    x = 51,756.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.