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Finding the Third Proportional to 36,013 and 78,483

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Solution

The third proportional to 36,013 and 78,483 is: 171,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,013 : 78,483 = 78,483 : x
  2. Step 2: Convert to fraction form
    36,013/78,483 = 78,483/x
  3. Step 3: Cross multiply
    36,013x = 78,483 × 78,483
  4. Step 4: Simplify right side
    36,013x = 6,159,581,289
  5. Step 5: Solve for x
    x = 6,159,581,289/36,013
  6. Step 6: Final answer
    x = 171,037.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.