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Finding the Third Proportional to 15,477 and 36,163

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Solution

The third proportional to 15,477 and 36,163 is: 84,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477 : 36,163 = 36,163 : x
  2. Step 2: Convert to fraction form
    15,477/36,163 = 36,163/x
  3. Step 3: Cross multiply
    15,477x = 36,163 × 36,163
  4. Step 4: Simplify right side
    15,477x = 1,307,762,569
  5. Step 5: Solve for x
    x = 1,307,762,569/15,477
  6. Step 6: Final answer
    x = 84,497.16

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.