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Finding the Third Proportional to 2,160.42 and 3,532.99

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Solution

The third proportional to 2,160.42 and 3,532.99 is: 5,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.42 : 3,532.99 = 3,532.99 : x
  2. Step 2: Convert to fraction form
    2,160.42/3,532.99 = 3,532.99/x
  3. Step 3: Cross multiply
    2,160.42x = 3,532.99 × 3,532.99
  4. Step 4: Simplify right side
    2,160.42x = 12,482,033.80
  5. Step 5: Solve for x
    x = 12,482,033.80/2,160.42
  6. Step 6: Final answer
    x = 5,777.59

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.