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Finding the Third Proportional to 6,041.25 and 12,949.88

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Solution

The third proportional to 6,041.25 and 12,949.88 is: 27,759.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.25 : 12,949.88 = 12,949.88 : x
  2. Step 2: Convert to fraction form
    6,041.25/12,949.88 = 12,949.88/x
  3. Step 3: Cross multiply
    6,041.25x = 12,949.88 × 12,949.88
  4. Step 4: Simplify right side
    6,041.25x = 167,699,262.52
  5. Step 5: Solve for x
    x = 167,699,262.52/6,041.25
  6. Step 6: Final answer
    x = 27,759.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.