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Finding the Third Proportional to 6,278 and 14,593

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Solution

The third proportional to 6,278 and 14,593 is: 33,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278 : 14,593 = 14,593 : x
  2. Step 2: Convert to fraction form
    6,278/14,593 = 14,593/x
  3. Step 3: Cross multiply
    6,278x = 14,593 × 14,593
  4. Step 4: Simplify right side
    6,278x = 212,955,649
  5. Step 5: Solve for x
    x = 212,955,649/6,278
  6. Step 6: Final answer
    x = 33,920.94

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.