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Finding the Third Proportional to 5,003.44 and 7,112.81

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Solution

The third proportional to 5,003.44 and 7,112.81 is: 10,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.44 : 7,112.81 = 7,112.81 : x
  2. Step 2: Convert to fraction form
    5,003.44/7,112.81 = 7,112.81/x
  3. Step 3: Cross multiply
    5,003.44x = 7,112.81 × 7,112.81
  4. Step 4: Simplify right side
    5,003.44x = 50,592,101.66
  5. Step 5: Solve for x
    x = 50,592,101.66/5,003.44
  6. Step 6: Final answer
    x = 10,111.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.