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Finding the Third Proportional to 2,678 and 3,537

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Solution

The third proportional to 2,678 and 3,537 is: 4,671.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678 : 3,537 = 3,537 : x
  2. Step 2: Convert to fraction form
    2,678/3,537 = 3,537/x
  3. Step 3: Cross multiply
    2,678x = 3,537 × 3,537
  4. Step 4: Simplify right side
    2,678x = 12,510,369
  5. Step 5: Solve for x
    x = 12,510,369/2,678
  6. Step 6: Final answer
    x = 4,671.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.