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Finding the Third Proportional to 3,109.64 and 6,617.95

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Solution

The third proportional to 3,109.64 and 6,617.95 is: 14,084.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 6,617.95 = 6,617.95 : x
  2. Step 2: Convert to fraction form
    3,109.64/6,617.95 = 6,617.95/x
  3. Step 3: Cross multiply
    3,109.64x = 6,617.95 × 6,617.95
  4. Step 4: Simplify right side
    3,109.64x = 43,797,303.56
  5. Step 5: Solve for x
    x = 43,797,303.56/3,109.64
  6. Step 6: Final answer
    x = 14,084.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.