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Finding the Third Proportional to 5,106.19 and 6,040.31

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Solution

The third proportional to 5,106.19 and 6,040.31 is: 7,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.19 : 6,040.31 = 6,040.31 : x
  2. Step 2: Convert to fraction form
    5,106.19/6,040.31 = 6,040.31/x
  3. Step 3: Cross multiply
    5,106.19x = 6,040.31 × 6,040.31
  4. Step 4: Simplify right side
    5,106.19x = 36,485,375.10
  5. Step 5: Solve for x
    x = 36,485,375.10/5,106.19
  6. Step 6: Final answer
    x = 7,145.33

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.