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Finding the Third Proportional to 2,054 and 3,902

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Solution

The third proportional to 2,054 and 3,902 is: 7,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 3,902 = 3,902 : x
  2. Step 2: Convert to fraction form
    2,054/3,902 = 3,902/x
  3. Step 3: Cross multiply
    2,054x = 3,902 × 3,902
  4. Step 4: Simplify right side
    2,054x = 15,225,604
  5. Step 5: Solve for x
    x = 15,225,604/2,054
  6. Step 6: Final answer
    x = 7,412.66

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.