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Finding the Third Proportional to 513.56 and 1,107.56

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Solution

The third proportional to 513.56 and 1,107.56 is: 2,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.56 : 1,107.56 = 1,107.56 : x
  2. Step 2: Convert to fraction form
    513.56/1,107.56 = 1,107.56/x
  3. Step 3: Cross multiply
    513.56x = 1,107.56 × 1,107.56
  4. Step 4: Simplify right side
    513.56x = 1,226,694.69
  5. Step 5: Solve for x
    x = 1,226,694.69/513.56
  6. Step 6: Final answer
    x = 2,388.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.