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Finding the Third Proportional to 3,126.73 and 4,542.96

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Solution

The third proportional to 3,126.73 and 4,542.96 is: 6,600.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.73 : 4,542.96 = 4,542.96 : x
  2. Step 2: Convert to fraction form
    3,126.73/4,542.96 = 4,542.96/x
  3. Step 3: Cross multiply
    3,126.73x = 4,542.96 × 4,542.96
  4. Step 4: Simplify right side
    3,126.73x = 20,638,494.08
  5. Step 5: Solve for x
    x = 20,638,494.08/3,126.73
  6. Step 6: Final answer
    x = 6,600.67

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.