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Finding the Third Proportional to 4,222.13 and 6,572.39

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Solution

The third proportional to 4,222.13 and 6,572.39 is: 10,230.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.13 : 6,572.39 = 6,572.39 : x
  2. Step 2: Convert to fraction form
    4,222.13/6,572.39 = 6,572.39/x
  3. Step 3: Cross multiply
    4,222.13x = 6,572.39 × 6,572.39
  4. Step 4: Simplify right side
    4,222.13x = 43,196,318.53
  5. Step 5: Solve for x
    x = 43,196,318.53/4,222.13
  6. Step 6: Final answer
    x = 10,230.94

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.