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Finding the Third Proportional to 4,190 and 4,910

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Solution

The third proportional to 4,190 and 4,910 is: 5,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190 : 4,910 = 4,910 : x
  2. Step 2: Convert to fraction form
    4,190/4,910 = 4,910/x
  3. Step 3: Cross multiply
    4,190x = 4,910 × 4,910
  4. Step 4: Simplify right side
    4,190x = 24,108,100
  5. Step 5: Solve for x
    x = 24,108,100/4,190
  6. Step 6: Final answer
    x = 5,753.72

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.