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Finding the Third Proportional to 2,327.06 and 3,598.59

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Solution

The third proportional to 2,327.06 and 3,598.59 is: 5,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.06 : 3,598.59 = 3,598.59 : x
  2. Step 2: Convert to fraction form
    2,327.06/3,598.59 = 3,598.59/x
  3. Step 3: Cross multiply
    2,327.06x = 3,598.59 × 3,598.59
  4. Step 4: Simplify right side
    2,327.06x = 12,949,876.98
  5. Step 5: Solve for x
    x = 12,949,876.98/2,327.06
  6. Step 6: Final answer
    x = 5,564.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.