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Finding the Third Proportional to 8,805 and 15,658.50

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Solution

The third proportional to 8,805 and 15,658.50 is: 27,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,805 : 15,658.50 = 15,658.50 : x
  2. Step 2: Convert to fraction form
    8,805/15,658.50 = 15,658.50/x
  3. Step 3: Cross multiply
    8,805x = 15,658.50 × 15,658.50
  4. Step 4: Simplify right side
    8,805x = 245,188,622.25
  5. Step 5: Solve for x
    x = 245,188,622.25/8,805
  6. Step 6: Final answer
    x = 27,846.52

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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.