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Finding the Third Proportional to 2,633.25 and 6,080.63

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Solution

The third proportional to 2,633.25 and 6,080.63 is: 14,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,633.25 : 6,080.63 = 6,080.63 : x
  2. Step 2: Convert to fraction form
    2,633.25/6,080.63 = 6,080.63/x
  3. Step 3: Cross multiply
    2,633.25x = 6,080.63 × 6,080.63
  4. Step 4: Simplify right side
    2,633.25x = 36,974,000.39
  5. Step 5: Solve for x
    x = 36,974,000.39/2,633.25
  6. Step 6: Final answer
    x = 14,041.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.