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Finding the Third Proportional to 4,107.37 and 6,154.15

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Solution

The third proportional to 4,107.37 and 6,154.15 is: 9,220.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.37 : 6,154.15 = 6,154.15 : x
  2. Step 2: Convert to fraction form
    4,107.37/6,154.15 = 6,154.15/x
  3. Step 3: Cross multiply
    4,107.37x = 6,154.15 × 6,154.15
  4. Step 4: Simplify right side
    4,107.37x = 37,873,615.11
  5. Step 5: Solve for x
    x = 37,873,615.11/4,107.37
  6. Step 6: Final answer
    x = 9,220.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.