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Finding the Third Proportional to 5,936 and 9,310

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Solution

The third proportional to 5,936 and 9,310 is: 14,601.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936 : 9,310 = 9,310 : x
  2. Step 2: Convert to fraction form
    5,936/9,310 = 9,310/x
  3. Step 3: Cross multiply
    5,936x = 9,310 × 9,310
  4. Step 4: Simplify right side
    5,936x = 86,676,100
  5. Step 5: Solve for x
    x = 86,676,100/5,936
  6. Step 6: Final answer
    x = 14,601.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.