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Finding the Third Proportional to 7,689 and 10,899

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Solution

The third proportional to 7,689 and 10,899 is: 15,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689 : 10,899 = 10,899 : x
  2. Step 2: Convert to fraction form
    7,689/10,899 = 10,899/x
  3. Step 3: Cross multiply
    7,689x = 10,899 × 10,899
  4. Step 4: Simplify right side
    7,689x = 118,788,201
  5. Step 5: Solve for x
    x = 118,788,201/7,689
  6. Step 6: Final answer
    x = 15,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.