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Finding the Third Proportional to 6,087.94 and 9,107.34

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Solution

The third proportional to 6,087.94 and 9,107.34 is: 13,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.94 : 9,107.34 = 9,107.34 : x
  2. Step 2: Convert to fraction form
    6,087.94/9,107.34 = 9,107.34/x
  3. Step 3: Cross multiply
    6,087.94x = 9,107.34 × 9,107.34
  4. Step 4: Simplify right side
    6,087.94x = 82,943,710.18
  5. Step 5: Solve for x
    x = 82,943,710.18/6,087.94
  6. Step 6: Final answer
    x = 13,624.27

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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.