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Finding the Third Proportional to 4,052 and 5,558

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Solution

The third proportional to 4,052 and 5,558 is: 7,623.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052 : 5,558 = 5,558 : x
  2. Step 2: Convert to fraction form
    4,052/5,558 = 5,558/x
  3. Step 3: Cross multiply
    4,052x = 5,558 × 5,558
  4. Step 4: Simplify right side
    4,052x = 30,891,364
  5. Step 5: Solve for x
    x = 30,891,364/4,052
  6. Step 6: Final answer
    x = 7,623.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.