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Finding the Third Proportional to 5,864 and 13,460

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Solution

The third proportional to 5,864 and 13,460 is: 30,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864 : 13,460 = 13,460 : x
  2. Step 2: Convert to fraction form
    5,864/13,460 = 13,460/x
  3. Step 3: Cross multiply
    5,864x = 13,460 × 13,460
  4. Step 4: Simplify right side
    5,864x = 181,171,600
  5. Step 5: Solve for x
    x = 181,171,600/5,864
  6. Step 6: Final answer
    x = 30,895.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.