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Finding the Third Proportional to 2,250.98 and 3,561.47

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Solution

The third proportional to 2,250.98 and 3,561.47 is: 5,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.98 : 3,561.47 = 3,561.47 : x
  2. Step 2: Convert to fraction form
    2,250.98/3,561.47 = 3,561.47/x
  3. Step 3: Cross multiply
    2,250.98x = 3,561.47 × 3,561.47
  4. Step 4: Simplify right side
    2,250.98x = 12,684,059.66
  5. Step 5: Solve for x
    x = 12,684,059.66/2,250.98
  6. Step 6: Final answer
    x = 5,634.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.