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Finding the Third Proportional to 2,490.75 and 3,734.25

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Solution

The third proportional to 2,490.75 and 3,734.25 is: 5,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.75 : 3,734.25 = 3,734.25 : x
  2. Step 2: Convert to fraction form
    2,490.75/3,734.25 = 3,734.25/x
  3. Step 3: Cross multiply
    2,490.75x = 3,734.25 × 3,734.25
  4. Step 4: Simplify right side
    2,490.75x = 13,944,623.06
  5. Step 5: Solve for x
    x = 13,944,623.06/2,490.75
  6. Step 6: Final answer
    x = 5,598.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.