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Finding the Third Proportional to 4,878 and 12,789

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Solution

The third proportional to 4,878 and 12,789 is: 33,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878 : 12,789 = 12,789 : x
  2. Step 2: Convert to fraction form
    4,878/12,789 = 12,789/x
  3. Step 3: Cross multiply
    4,878x = 12,789 × 12,789
  4. Step 4: Simplify right side
    4,878x = 163,558,521
  5. Step 5: Solve for x
    x = 163,558,521/4,878
  6. Step 6: Final answer
    x = 33,529.83

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.