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Finding the Third Proportional to 7,659 and 15,797

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Solution

The third proportional to 7,659 and 15,797 is: 32,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 15,797 = 15,797 : x
  2. Step 2: Convert to fraction form
    7,659/15,797 = 15,797/x
  3. Step 3: Cross multiply
    7,659x = 15,797 × 15,797
  4. Step 4: Simplify right side
    7,659x = 249,545,209
  5. Step 5: Solve for x
    x = 249,545,209/7,659
  6. Step 6: Final answer
    x = 32,581.96

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.