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Finding the Third Proportional to 1,665.75 and 2,489.63

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Solution

The third proportional to 1,665.75 and 2,489.63 is: 3,720.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.75 : 2,489.63 = 2,489.63 : x
  2. Step 2: Convert to fraction form
    1,665.75/2,489.63 = 2,489.63/x
  3. Step 3: Cross multiply
    1,665.75x = 2,489.63 × 2,489.63
  4. Step 4: Simplify right side
    1,665.75x = 6,198,232.64
  5. Step 5: Solve for x
    x = 6,198,232.64/1,665.75
  6. Step 6: Final answer
    x = 3,720.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.