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Finding the Third Proportional to 1,892 and 4,910

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Solution

The third proportional to 1,892 and 4,910 is: 12,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892 : 4,910 = 4,910 : x
  2. Step 2: Convert to fraction form
    1,892/4,910 = 4,910/x
  3. Step 3: Cross multiply
    1,892x = 4,910 × 4,910
  4. Step 4: Simplify right side
    1,892x = 24,108,100
  5. Step 5: Solve for x
    x = 24,108,100/1,892
  6. Step 6: Final answer
    x = 12,742.12

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.