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Finding the Third Proportional to 2,541.94 and 5,581.69

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Solution

The third proportional to 2,541.94 and 5,581.69 is: 12,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.94 : 5,581.69 = 5,581.69 : x
  2. Step 2: Convert to fraction form
    2,541.94/5,581.69 = 5,581.69/x
  3. Step 3: Cross multiply
    2,541.94x = 5,581.69 × 5,581.69
  4. Step 4: Simplify right side
    2,541.94x = 31,155,235.35
  5. Step 5: Solve for x
    x = 31,155,235.35/2,541.94
  6. Step 6: Final answer
    x = 12,256.49

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