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Finding the Third Proportional to 1,456.88 and 3,144.94

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Solution

The third proportional to 1,456.88 and 3,144.94 is: 6,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.88 : 3,144.94 = 3,144.94 : x
  2. Step 2: Convert to fraction form
    1,456.88/3,144.94 = 3,144.94/x
  3. Step 3: Cross multiply
    1,456.88x = 3,144.94 × 3,144.94
  4. Step 4: Simplify right side
    1,456.88x = 9,890,631.88
  5. Step 5: Solve for x
    x = 9,890,631.88/1,456.88
  6. Step 6: Final answer
    x = 6,788.94

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.