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Finding the Third Proportional to 5,878 and 13,768

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Solution

The third proportional to 5,878 and 13,768 is: 32,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878 : 13,768 = 13,768 : x
  2. Step 2: Convert to fraction form
    5,878/13,768 = 13,768/x
  3. Step 3: Cross multiply
    5,878x = 13,768 × 13,768
  4. Step 4: Simplify right side
    5,878x = 189,557,824
  5. Step 5: Solve for x
    x = 189,557,824/5,878
  6. Step 6: Final answer
    x = 32,248.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.