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Finding the Third Proportional to 2,532.94 and 5,577.19

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Solution

The third proportional to 2,532.94 and 5,577.19 is: 12,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.94 : 5,577.19 = 5,577.19 : x
  2. Step 2: Convert to fraction form
    2,532.94/5,577.19 = 5,577.19/x
  3. Step 3: Cross multiply
    2,532.94x = 5,577.19 × 5,577.19
  4. Step 4: Simplify right side
    2,532.94x = 31,105,020.41
  5. Step 5: Solve for x
    x = 31,105,020.41/2,532.94
  6. Step 6: Final answer
    x = 12,280.22

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Why These Related Problems?

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