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Finding the Third Proportional to 2,054 and 4,701

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Solution

The third proportional to 2,054 and 4,701 is: 10,759.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,054 : 4,701 = 4,701 : x
  2. Step 2: Convert to fraction form
    2,054/4,701 = 4,701/x
  3. Step 3: Cross multiply
    2,054x = 4,701 × 4,701
  4. Step 4: Simplify right side
    2,054x = 22,099,401
  5. Step 5: Solve for x
    x = 22,099,401/2,054
  6. Step 6: Final answer
    x = 10,759.20

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.