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Finding the Third Proportional to 3,406 and 7,157

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Solution

The third proportional to 3,406 and 7,157 is: 15,038.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 7,157 = 7,157 : x
  2. Step 2: Convert to fraction form
    3,406/7,157 = 7,157/x
  3. Step 3: Cross multiply
    3,406x = 7,157 × 7,157
  4. Step 4: Simplify right side
    3,406x = 51,222,649
  5. Step 5: Solve for x
    x = 51,222,649/3,406
  6. Step 6: Final answer
    x = 15,038.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.