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Finding the Third Proportional to 4,892.06 and 7,436.81

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Solution

The third proportional to 4,892.06 and 7,436.81 is: 11,305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.06 : 7,436.81 = 7,436.81 : x
  2. Step 2: Convert to fraction form
    4,892.06/7,436.81 = 7,436.81/x
  3. Step 3: Cross multiply
    4,892.06x = 7,436.81 × 7,436.81
  4. Step 4: Simplify right side
    4,892.06x = 55,306,180.16
  5. Step 5: Solve for x
    x = 55,306,180.16/4,892.06
  6. Step 6: Final answer
    x = 11,305.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.