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Finding the Third Proportional to 7,800 and 13,867.50

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Solution

The third proportional to 7,800 and 13,867.50 is: 24,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 13,867.50 = 13,867.50 : x
  2. Step 2: Convert to fraction form
    7,800/13,867.50 = 13,867.50/x
  3. Step 3: Cross multiply
    7,800x = 13,867.50 × 13,867.50
  4. Step 4: Simplify right side
    7,800x = 192,307,556.25
  5. Step 5: Solve for x
    x = 192,307,556.25/7,800
  6. Step 6: Final answer
    x = 24,654.81

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.