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Finding the Third Proportional to 1,244.11 and 1,929.45

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Solution

The third proportional to 1,244.11 and 1,929.45 is: 2,992.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.11 : 1,929.45 = 1,929.45 : x
  2. Step 2: Convert to fraction form
    1,244.11/1,929.45 = 1,929.45/x
  3. Step 3: Cross multiply
    1,244.11x = 1,929.45 × 1,929.45
  4. Step 4: Simplify right side
    1,244.11x = 3,722,759.21
  5. Step 5: Solve for x
    x = 3,722,759.21/1,244.11
  6. Step 6: Final answer
    x = 2,992.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.