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Finding the Third Proportional to 1,157.99 and 2,546.62

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Solution

The third proportional to 1,157.99 and 2,546.62 is: 5,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.99 : 2,546.62 = 2,546.62 : x
  2. Step 2: Convert to fraction form
    1,157.99/2,546.62 = 2,546.62/x
  3. Step 3: Cross multiply
    1,157.99x = 2,546.62 × 2,546.62
  4. Step 4: Simplify right side
    1,157.99x = 6,485,283.97
  5. Step 5: Solve for x
    x = 6,485,283.97/1,157.99
  6. Step 6: Final answer
    x = 5,600.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.