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Finding the Third Proportional to 4,912 and 5,416

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Solution

The third proportional to 4,912 and 5,416 is: 5,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912 : 5,416 = 5,416 : x
  2. Step 2: Convert to fraction form
    4,912/5,416 = 5,416/x
  3. Step 3: Cross multiply
    4,912x = 5,416 × 5,416
  4. Step 4: Simplify right side
    4,912x = 29,333,056
  5. Step 5: Solve for x
    x = 29,333,056/4,912
  6. Step 6: Final answer
    x = 5,971.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.