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Finding the Third Proportional to 15,410 and 33,394

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Solution

The third proportional to 15,410 and 33,394 is: 72,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410 : 33,394 = 33,394 : x
  2. Step 2: Convert to fraction form
    15,410/33,394 = 33,394/x
  3. Step 3: Cross multiply
    15,410x = 33,394 × 33,394
  4. Step 4: Simplify right side
    15,410x = 1,115,159,236
  5. Step 5: Solve for x
    x = 1,115,159,236/15,410
  6. Step 6: Final answer
    x = 72,365.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.