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Finding the Third Proportional to 7,802 and 16,900

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Solution

The third proportional to 7,802 and 16,900 is: 36,607.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802 : 16,900 = 16,900 : x
  2. Step 2: Convert to fraction form
    7,802/16,900 = 16,900/x
  3. Step 3: Cross multiply
    7,802x = 16,900 × 16,900
  4. Step 4: Simplify right side
    7,802x = 285,610,000
  5. Step 5: Solve for x
    x = 285,610,000/7,802
  6. Step 6: Final answer
    x = 36,607.28

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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.