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Finding the Third Proportional to 11,943 and 25,833

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Solution

The third proportional to 11,943 and 25,833 is: 55,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943 : 25,833 = 25,833 : x
  2. Step 2: Convert to fraction form
    11,943/25,833 = 25,833/x
  3. Step 3: Cross multiply
    11,943x = 25,833 × 25,833
  4. Step 4: Simplify right side
    11,943x = 667,343,889
  5. Step 5: Solve for x
    x = 667,343,889/11,943
  6. Step 6: Final answer
    x = 55,877.41

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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.