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Finding the Third Proportional to 7,217.44 and 10,778.06

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Solution

The third proportional to 7,217.44 and 10,778.06 is: 16,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,217.44 : 10,778.06 = 10,778.06 : x
  2. Step 2: Convert to fraction form
    7,217.44/10,778.06 = 10,778.06/x
  3. Step 3: Cross multiply
    7,217.44x = 10,778.06 × 10,778.06
  4. Step 4: Simplify right side
    7,217.44x = 116,166,631.25
  5. Step 5: Solve for x
    x = 116,166,631.25/7,217.44
  6. Step 6: Final answer
    x = 16,095.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.