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Finding the Third Proportional to 3,077.16 and 6,615.84

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Solution

The third proportional to 3,077.16 and 6,615.84 is: 14,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.16 : 6,615.84 = 6,615.84 : x
  2. Step 2: Convert to fraction form
    3,077.16/6,615.84 = 6,615.84/x
  3. Step 3: Cross multiply
    3,077.16x = 6,615.84 × 6,615.84
  4. Step 4: Simplify right side
    3,077.16x = 43,769,388.52
  5. Step 5: Solve for x
    x = 43,769,388.52/3,077.16
  6. Step 6: Final answer
    x = 14,223.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.