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Finding the Third Proportional to 1,244.74 and 1,880.09

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Solution

The third proportional to 1,244.74 and 1,880.09 is: 2,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.74 : 1,880.09 = 1,880.09 : x
  2. Step 2: Convert to fraction form
    1,244.74/1,880.09 = 1,880.09/x
  3. Step 3: Cross multiply
    1,244.74x = 1,880.09 × 1,880.09
  4. Step 4: Simplify right side
    1,244.74x = 3,534,723.13
  5. Step 5: Solve for x
    x = 3,534,723.13/1,244.74
  6. Step 6: Final answer
    x = 2,839.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.