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Finding the Third Proportional to 5,768 and 13,924

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Solution

The third proportional to 5,768 and 13,924 is: 33,612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 13,924 = 13,924 : x
  2. Step 2: Convert to fraction form
    5,768/13,924 = 13,924/x
  3. Step 3: Cross multiply
    5,768x = 13,924 × 13,924
  4. Step 4: Simplify right side
    5,768x = 193,877,776
  5. Step 5: Solve for x
    x = 193,877,776/5,768
  6. Step 6: Final answer
    x = 33,612.65

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.