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Finding the Third Proportional to 4,761 and 11,537

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Solution

The third proportional to 4,761 and 11,537 is: 27,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761 : 11,537 = 11,537 : x
  2. Step 2: Convert to fraction form
    4,761/11,537 = 11,537/x
  3. Step 3: Cross multiply
    4,761x = 11,537 × 11,537
  4. Step 4: Simplify right side
    4,761x = 133,102,369
  5. Step 5: Solve for x
    x = 133,102,369/4,761
  6. Step 6: Final answer
    x = 27,956.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.