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Finding the Third Proportional to 2,925 and 3,349

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Solution

The third proportional to 2,925 and 3,349 is: 3,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925 : 3,349 = 3,349 : x
  2. Step 2: Convert to fraction form
    2,925/3,349 = 3,349/x
  3. Step 3: Cross multiply
    2,925x = 3,349 × 3,349
  4. Step 4: Simplify right side
    2,925x = 11,215,801
  5. Step 5: Solve for x
    x = 11,215,801/2,925
  6. Step 6: Final answer
    x = 3,834.46

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.