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Finding the Third Proportional to 5,011 and 7,789

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Solution

The third proportional to 5,011 and 7,789 is: 12,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,011 : 7,789 = 7,789 : x
  2. Step 2: Convert to fraction form
    5,011/7,789 = 7,789/x
  3. Step 3: Cross multiply
    5,011x = 7,789 × 7,789
  4. Step 4: Simplify right side
    5,011x = 60,668,521
  5. Step 5: Solve for x
    x = 60,668,521/5,011
  6. Step 6: Final answer
    x = 12,107.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.