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Finding the Third Proportional to 2,635 and 5,354

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Solution

The third proportional to 2,635 and 5,354 is: 10,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,635 : 5,354 = 5,354 : x
  2. Step 2: Convert to fraction form
    2,635/5,354 = 5,354/x
  3. Step 3: Cross multiply
    2,635x = 5,354 × 5,354
  4. Step 4: Simplify right side
    2,635x = 28,665,316
  5. Step 5: Solve for x
    x = 28,665,316/2,635
  6. Step 6: Final answer
    x = 10,878.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.