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Finding the Third Proportional to 4,617 and 7,229.25

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Solution

The third proportional to 4,617 and 7,229.25 is: 11,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617 : 7,229.25 = 7,229.25 : x
  2. Step 2: Convert to fraction form
    4,617/7,229.25 = 7,229.25/x
  3. Step 3: Cross multiply
    4,617x = 7,229.25 × 7,229.25
  4. Step 4: Simplify right side
    4,617x = 52,262,055.56
  5. Step 5: Solve for x
    x = 52,262,055.56/4,617
  6. Step 6: Final answer
    x = 11,319.48

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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.