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Finding the Third Proportional to 1,601.02 and 2,158.52

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Solution

The third proportional to 1,601.02 and 2,158.52 is: 2,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.02 : 2,158.52 = 2,158.52 : x
  2. Step 2: Convert to fraction form
    1,601.02/2,158.52 = 2,158.52/x
  3. Step 3: Cross multiply
    1,601.02x = 2,158.52 × 2,158.52
  4. Step 4: Simplify right side
    1,601.02x = 4,659,223.43
  5. Step 5: Solve for x
    x = 4,659,223.43/1,601.02
  6. Step 6: Final answer
    x = 2,910.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.