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Finding the Third Proportional to 2,948 and 3,924

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Solution

The third proportional to 2,948 and 3,924 is: 5,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948 : 3,924 = 3,924 : x
  2. Step 2: Convert to fraction form
    2,948/3,924 = 3,924/x
  3. Step 3: Cross multiply
    2,948x = 3,924 × 3,924
  4. Step 4: Simplify right side
    2,948x = 15,397,776
  5. Step 5: Solve for x
    x = 15,397,776/2,948
  6. Step 6: Final answer
    x = 5,223.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.