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Finding the Third Proportional to 1,746.75 and 2,496.75

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Solution

The third proportional to 1,746.75 and 2,496.75 is: 3,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.75 : 2,496.75 = 2,496.75 : x
  2. Step 2: Convert to fraction form
    1,746.75/2,496.75 = 2,496.75/x
  3. Step 3: Cross multiply
    1,746.75x = 2,496.75 × 2,496.75
  4. Step 4: Simplify right side
    1,746.75x = 6,233,760.56
  5. Step 5: Solve for x
    x = 6,233,760.56/1,746.75
  6. Step 6: Final answer
    x = 3,568.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.