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Finding the Third Proportional to 3,116.11 and 6,727.50

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Solution

The third proportional to 3,116.11 and 6,727.50 is: 14,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.11 : 6,727.50 = 6,727.50 : x
  2. Step 2: Convert to fraction form
    3,116.11/6,727.50 = 6,727.50/x
  3. Step 3: Cross multiply
    3,116.11x = 6,727.50 × 6,727.50
  4. Step 4: Simplify right side
    3,116.11x = 45,259,256.25
  5. Step 5: Solve for x
    x = 45,259,256.25/3,116.11
  6. Step 6: Final answer
    x = 14,524.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.