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Finding the Third Proportional to 3,988.94 and 6,089.46

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Solution

The third proportional to 3,988.94 and 6,089.46 is: 9,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.94 : 6,089.46 = 6,089.46 : x
  2. Step 2: Convert to fraction form
    3,988.94/6,089.46 = 6,089.46/x
  3. Step 3: Cross multiply
    3,988.94x = 6,089.46 × 6,089.46
  4. Step 4: Simplify right side
    3,988.94x = 37,081,546.39
  5. Step 5: Solve for x
    x = 37,081,546.39/3,988.94
  6. Step 6: Final answer
    x = 9,296.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.