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Finding the Third Proportional to 2,689 and 3,157

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Solution

The third proportional to 2,689 and 3,157 is: 3,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689 : 3,157 = 3,157 : x
  2. Step 2: Convert to fraction form
    2,689/3,157 = 3,157/x
  3. Step 3: Cross multiply
    2,689x = 3,157 × 3,157
  4. Step 4: Simplify right side
    2,689x = 9,966,649
  5. Step 5: Solve for x
    x = 9,966,649/2,689
  6. Step 6: Final answer
    x = 3,706.45

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.