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Finding the Third Proportional to 16,294 and 35,337

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Solution

The third proportional to 16,294 and 35,337 is: 76,635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 35,337 = 35,337 : x
  2. Step 2: Convert to fraction form
    16,294/35,337 = 35,337/x
  3. Step 3: Cross multiply
    16,294x = 35,337 × 35,337
  4. Step 4: Simplify right side
    16,294x = 1,248,703,569
  5. Step 5: Solve for x
    x = 1,248,703,569/16,294
  6. Step 6: Final answer
    x = 76,635.79

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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.