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Finding the Third Proportional to 3,003 and 5,358

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Solution

The third proportional to 3,003 and 5,358 is: 9,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003 : 5,358 = 5,358 : x
  2. Step 2: Convert to fraction form
    3,003/5,358 = 5,358/x
  3. Step 3: Cross multiply
    3,003x = 5,358 × 5,358
  4. Step 4: Simplify right side
    3,003x = 28,708,164
  5. Step 5: Solve for x
    x = 28,708,164/3,003
  6. Step 6: Final answer
    x = 9,559.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.