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Finding the Third Proportional to 3,638 and 5,316

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Solution

The third proportional to 3,638 and 5,316 is: 7,767.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638 : 5,316 = 5,316 : x
  2. Step 2: Convert to fraction form
    3,638/5,316 = 5,316/x
  3. Step 3: Cross multiply
    3,638x = 5,316 × 5,316
  4. Step 4: Simplify right side
    3,638x = 28,259,856
  5. Step 5: Solve for x
    x = 28,259,856/3,638
  6. Step 6: Final answer
    x = 7,767.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.