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Finding the Third Proportional to 4,541.91 and 7,112.81

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Solution

The third proportional to 4,541.91 and 7,112.81 is: 11,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,541.91 : 7,112.81 = 7,112.81 : x
  2. Step 2: Convert to fraction form
    4,541.91/7,112.81 = 7,112.81/x
  3. Step 3: Cross multiply
    4,541.91x = 7,112.81 × 7,112.81
  4. Step 4: Simplify right side
    4,541.91x = 50,592,101.66
  5. Step 5: Solve for x
    x = 50,592,101.66/4,541.91
  6. Step 6: Final answer
    x = 11,138.96

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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.