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Finding the Third Proportional to 6,059.25 and 9,079.88

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Solution

The third proportional to 6,059.25 and 9,079.88 is: 13,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.25 : 9,079.88 = 9,079.88 : x
  2. Step 2: Convert to fraction form
    6,059.25/9,079.88 = 9,079.88/x
  3. Step 3: Cross multiply
    6,059.25x = 9,079.88 × 9,079.88
  4. Step 4: Simplify right side
    6,059.25x = 82,444,130.02
  5. Step 5: Solve for x
    x = 82,444,130.02/6,059.25
  6. Step 6: Final answer
    x = 13,606.33

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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.