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Finding the Third Proportional to 2,321.79 and 3,597.06

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Solution

The third proportional to 2,321.79 and 3,597.06 is: 5,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.79 : 3,597.06 = 3,597.06 : x
  2. Step 2: Convert to fraction form
    2,321.79/3,597.06 = 3,597.06/x
  3. Step 3: Cross multiply
    2,321.79x = 3,597.06 × 3,597.06
  4. Step 4: Simplify right side
    2,321.79x = 12,938,872.68
  5. Step 5: Solve for x
    x = 12,938,872.68/2,321.79
  6. Step 6: Final answer
    x = 5,572.80

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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.