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Finding the Third Proportional to 7,866 and 15,529.50

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Solution

The third proportional to 7,866 and 15,529.50 is: 30,659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866 : 15,529.50 = 15,529.50 : x
  2. Step 2: Convert to fraction form
    7,866/15,529.50 = 15,529.50/x
  3. Step 3: Cross multiply
    7,866x = 15,529.50 × 15,529.50
  4. Step 4: Simplify right side
    7,866x = 241,165,370.25
  5. Step 5: Solve for x
    x = 241,165,370.25/7,866
  6. Step 6: Final answer
    x = 30,659.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.