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Finding the Third Proportional to 17,592 and 25,811

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Solution

The third proportional to 17,592 and 25,811 is: 37,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,592 : 25,811 = 25,811 : x
  2. Step 2: Convert to fraction form
    17,592/25,811 = 25,811/x
  3. Step 3: Cross multiply
    17,592x = 25,811 × 25,811
  4. Step 4: Simplify right side
    17,592x = 666,207,721
  5. Step 5: Solve for x
    x = 666,207,721/17,592
  6. Step 6: Final answer
    x = 37,869.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.