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Finding the Third Proportional to 4,150.41 and 10,030.92

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Solution

The third proportional to 4,150.41 and 10,030.92 is: 24,243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.41 : 10,030.92 = 10,030.92 : x
  2. Step 2: Convert to fraction form
    4,150.41/10,030.92 = 10,030.92/x
  3. Step 3: Cross multiply
    4,150.41x = 10,030.92 × 10,030.92
  4. Step 4: Simplify right side
    4,150.41x = 100,619,393.66
  5. Step 5: Solve for x
    x = 100,619,393.66/4,150.41
  6. Step 6: Final answer
    x = 24,243.26

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.