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Finding the Third Proportional to 1,541.25 and 3,344.34

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Solution

The third proportional to 1,541.25 and 3,344.34 is: 7,256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.25 : 3,344.34 = 3,344.34 : x
  2. Step 2: Convert to fraction form
    1,541.25/3,344.34 = 3,344.34/x
  3. Step 3: Cross multiply
    1,541.25x = 3,344.34 × 3,344.34
  4. Step 4: Simplify right side
    1,541.25x = 11,184,635.12
  5. Step 5: Solve for x
    x = 11,184,635.12/1,541.25
  6. Step 6: Final answer
    x = 7,256.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.