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Finding the Third Proportional to 16,747 and 35,217

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Solution

The third proportional to 16,747 and 35,217 is: 74,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,747 : 35,217 = 35,217 : x
  2. Step 2: Convert to fraction form
    16,747/35,217 = 35,217/x
  3. Step 3: Cross multiply
    16,747x = 35,217 × 35,217
  4. Step 4: Simplify right side
    16,747x = 1,240,237,089
  5. Step 5: Solve for x
    x = 1,240,237,089/16,747
  6. Step 6: Final answer
    x = 74,057.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.