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Finding the Third Proportional to 4,598.22 and 7,286.02

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Solution

The third proportional to 4,598.22 and 7,286.02 is: 11,544.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.22 : 7,286.02 = 7,286.02 : x
  2. Step 2: Convert to fraction form
    4,598.22/7,286.02 = 7,286.02/x
  3. Step 3: Cross multiply
    4,598.22x = 7,286.02 × 7,286.02
  4. Step 4: Simplify right side
    4,598.22x = 53,086,023.69
  5. Step 5: Solve for x
    x = 53,086,023.69/4,598.22
  6. Step 6: Final answer
    x = 11,544.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.