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Finding the Third Proportional to 21,913 and 25,619

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Solution

The third proportional to 21,913 and 25,619 is: 29,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,913 : 25,619 = 25,619 : x
  2. Step 2: Convert to fraction form
    21,913/25,619 = 25,619/x
  3. Step 3: Cross multiply
    21,913x = 25,619 × 25,619
  4. Step 4: Simplify right side
    21,913x = 656,333,161
  5. Step 5: Solve for x
    x = 656,333,161/21,913
  6. Step 6: Final answer
    x = 29,951.77

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.