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Finding the Third Proportional to 3,184.25 and 6,901.75

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Solution

The third proportional to 3,184.25 and 6,901.75 is: 14,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.25 : 6,901.75 = 6,901.75 : x
  2. Step 2: Convert to fraction form
    3,184.25/6,901.75 = 6,901.75/x
  3. Step 3: Cross multiply
    3,184.25x = 6,901.75 × 6,901.75
  4. Step 4: Simplify right side
    3,184.25x = 47,634,153.06
  5. Step 5: Solve for x
    x = 47,634,153.06/3,184.25
  6. Step 6: Final answer
    x = 14,959.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.