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Finding the Third Proportional to 23,141 and 25,571

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Solution

The third proportional to 23,141 and 25,571 is: 28,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141 : 25,571 = 25,571 : x
  2. Step 2: Convert to fraction form
    23,141/25,571 = 25,571/x
  3. Step 3: Cross multiply
    23,141x = 25,571 × 25,571
  4. Step 4: Simplify right side
    23,141x = 653,876,041
  5. Step 5: Solve for x
    x = 653,876,041/23,141
  6. Step 6: Final answer
    x = 28,256.17

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.