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Finding the Third Proportional to 5,834 and 9,278

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Solution

The third proportional to 5,834 and 9,278 is: 14,755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834 : 9,278 = 9,278 : x
  2. Step 2: Convert to fraction form
    5,834/9,278 = 9,278/x
  3. Step 3: Cross multiply
    5,834x = 9,278 × 9,278
  4. Step 4: Simplify right side
    5,834x = 86,081,284
  5. Step 5: Solve for x
    x = 86,081,284/5,834
  6. Step 6: Final answer
    x = 14,755.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.