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Finding the Third Proportional to 7,600 and 15,802

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Solution

The third proportional to 7,600 and 15,802 is: 32,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600 : 15,802 = 15,802 : x
  2. Step 2: Convert to fraction form
    7,600/15,802 = 15,802/x
  3. Step 3: Cross multiply
    7,600x = 15,802 × 15,802
  4. Step 4: Simplify right side
    7,600x = 249,703,204
  5. Step 5: Solve for x
    x = 249,703,204/7,600
  6. Step 6: Final answer
    x = 32,855.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.