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Finding the Third Proportional to 14,456 and 30,864

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Solution

The third proportional to 14,456 and 30,864 is: 65,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456 : 30,864 = 30,864 : x
  2. Step 2: Convert to fraction form
    14,456/30,864 = 30,864/x
  3. Step 3: Cross multiply
    14,456x = 30,864 × 30,864
  4. Step 4: Simplify right side
    14,456x = 952,586,496
  5. Step 5: Solve for x
    x = 952,586,496/14,456
  6. Step 6: Final answer
    x = 65,895.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.