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Finding the Third Proportional to 23,769 and 27,117

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Solution

The third proportional to 23,769 and 27,117 is: 30,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,769 : 27,117 = 27,117 : x
  2. Step 2: Convert to fraction form
    23,769/27,117 = 27,117/x
  3. Step 3: Cross multiply
    23,769x = 27,117 × 27,117
  4. Step 4: Simplify right side
    23,769x = 735,331,689
  5. Step 5: Solve for x
    x = 735,331,689/23,769
  6. Step 6: Final answer
    x = 30,936.59

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.