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Finding the Third Proportional to 2,924 and 3,380

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Solution

The third proportional to 2,924 and 3,380 is: 3,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924 : 3,380 = 3,380 : x
  2. Step 2: Convert to fraction form
    2,924/3,380 = 3,380/x
  3. Step 3: Cross multiply
    2,924x = 3,380 × 3,380
  4. Step 4: Simplify right side
    2,924x = 11,424,400
  5. Step 5: Solve for x
    x = 11,424,400/2,924
  6. Step 6: Final answer
    x = 3,907.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.