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Finding the Third Proportional to 6,153.66 and 9,228.56

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Solution

The third proportional to 6,153.66 and 9,228.56 is: 13,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.66 : 9,228.56 = 9,228.56 : x
  2. Step 2: Convert to fraction form
    6,153.66/9,228.56 = 9,228.56/x
  3. Step 3: Cross multiply
    6,153.66x = 9,228.56 × 9,228.56
  4. Step 4: Simplify right side
    6,153.66x = 85,166,365.82
  5. Step 5: Solve for x
    x = 85,166,365.82/6,153.66
  6. Step 6: Final answer
    x = 13,839.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.