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Finding the Third Proportional to 15,498 and 33,477

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Solution

The third proportional to 15,498 and 33,477 is: 72,313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 33,477 = 33,477 : x
  2. Step 2: Convert to fraction form
    15,498/33,477 = 33,477/x
  3. Step 3: Cross multiply
    15,498x = 33,477 × 33,477
  4. Step 4: Simplify right side
    15,498x = 1,120,709,529
  5. Step 5: Solve for x
    x = 1,120,709,529/15,498
  6. Step 6: Final answer
    x = 72,313.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.