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Finding the Third Proportional to 20,590 and 27,961

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Solution

The third proportional to 20,590 and 27,961 is: 37,970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590 : 27,961 = 27,961 : x
  2. Step 2: Convert to fraction form
    20,590/27,961 = 27,961/x
  3. Step 3: Cross multiply
    20,590x = 27,961 × 27,961
  4. Step 4: Simplify right side
    20,590x = 781,817,521
  5. Step 5: Solve for x
    x = 781,817,521/20,590
  6. Step 6: Final answer
    x = 37,970.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.