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Finding the Third Proportional to 15,786 and 23,571

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Solution

The third proportional to 15,786 and 23,571 is: 35,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 23,571 = 23,571 : x
  2. Step 2: Convert to fraction form
    15,786/23,571 = 23,571/x
  3. Step 3: Cross multiply
    15,786x = 23,571 × 23,571
  4. Step 4: Simplify right side
    15,786x = 555,592,041
  5. Step 5: Solve for x
    x = 555,592,041/15,786
  6. Step 6: Final answer
    x = 35,195.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.