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Finding the Third Proportional to 6,228.42 and 9,325.55

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Solution

The third proportional to 6,228.42 and 9,325.55 is: 13,962.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.42 : 9,325.55 = 9,325.55 : x
  2. Step 2: Convert to fraction form
    6,228.42/9,325.55 = 9,325.55/x
  3. Step 3: Cross multiply
    6,228.42x = 9,325.55 × 9,325.55
  4. Step 4: Simplify right side
    6,228.42x = 86,965,824.52
  5. Step 5: Solve for x
    x = 86,965,824.52/6,228.42
  6. Step 6: Final answer
    x = 13,962.74

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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.