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Finding the Third Proportional to 2,690 and 4,157

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Solution

The third proportional to 2,690 and 4,157 is: 6,424.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690 : 4,157 = 4,157 : x
  2. Step 2: Convert to fraction form
    2,690/4,157 = 4,157/x
  3. Step 3: Cross multiply
    2,690x = 4,157 × 4,157
  4. Step 4: Simplify right side
    2,690x = 17,280,649
  5. Step 5: Solve for x
    x = 17,280,649/2,690
  6. Step 6: Final answer
    x = 6,424.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.