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Finding the Third Proportional to 2,511.56 and 3,537.84

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Solution

The third proportional to 2,511.56 and 3,537.84 is: 4,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.56 : 3,537.84 = 3,537.84 : x
  2. Step 2: Convert to fraction form
    2,511.56/3,537.84 = 3,537.84/x
  3. Step 3: Cross multiply
    2,511.56x = 3,537.84 × 3,537.84
  4. Step 4: Simplify right side
    2,511.56x = 12,516,338.40
  5. Step 5: Solve for x
    x = 12,516,338.40/2,511.56
  6. Step 6: Final answer
    x = 4,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.