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Finding the Third Proportional to 537.56 and 1,275.56

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Solution

The third proportional to 537.56 and 1,275.56 is: 3,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 1,275.56 = 1,275.56 : x
  2. Step 2: Convert to fraction form
    537.56/1,275.56 = 1,275.56/x
  3. Step 3: Cross multiply
    537.56x = 1,275.56 × 1,275.56
  4. Step 4: Simplify right side
    537.56x = 1,627,059.69
  5. Step 5: Solve for x
    x = 1,627,059.69/537.56
  6. Step 6: Final answer
    x = 3,026.74

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.