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Finding the Third Proportional to 8,237 and 16,057

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Solution

The third proportional to 8,237 and 16,057 is: 31,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237 : 16,057 = 16,057 : x
  2. Step 2: Convert to fraction form
    8,237/16,057 = 16,057/x
  3. Step 3: Cross multiply
    8,237x = 16,057 × 16,057
  4. Step 4: Simplify right side
    8,237x = 257,827,249
  5. Step 5: Solve for x
    x = 257,827,249/8,237
  6. Step 6: Final answer
    x = 31,301.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.