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Finding the Third Proportional to 15,182 and 23,636

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Solution

The third proportional to 15,182 and 23,636 is: 36,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182 : 23,636 = 23,636 : x
  2. Step 2: Convert to fraction form
    15,182/23,636 = 23,636/x
  3. Step 3: Cross multiply
    15,182x = 23,636 × 23,636
  4. Step 4: Simplify right side
    15,182x = 558,660,496
  5. Step 5: Solve for x
    x = 558,660,496/15,182
  6. Step 6: Final answer
    x = 36,797.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.