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Finding the Third Proportional to 5,228.30 and 7,134.45

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Solution

The third proportional to 5,228.30 and 7,134.45 is: 9,735.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.30 : 7,134.45 = 7,134.45 : x
  2. Step 2: Convert to fraction form
    5,228.30/7,134.45 = 7,134.45/x
  3. Step 3: Cross multiply
    5,228.30x = 7,134.45 × 7,134.45
  4. Step 4: Simplify right side
    5,228.30x = 50,900,330.82
  5. Step 5: Solve for x
    x = 50,900,330.82/5,228.30
  6. Step 6: Final answer
    x = 9,735.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.