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Finding the Third Proportional to 4,867.59 and 7,627.22

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Solution

The third proportional to 4,867.59 and 7,627.22 is: 11,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.59 : 7,627.22 = 7,627.22 : x
  2. Step 2: Convert to fraction form
    4,867.59/7,627.22 = 7,627.22/x
  3. Step 3: Cross multiply
    4,867.59x = 7,627.22 × 7,627.22
  4. Step 4: Simplify right side
    4,867.59x = 58,174,465.86
  5. Step 5: Solve for x
    x = 58,174,465.86/4,867.59
  6. Step 6: Final answer
    x = 11,951.38

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.