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Finding the Third Proportional to 7,833 and 14,757

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Solution

The third proportional to 7,833 and 14,757 is: 27,801.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 14,757 = 14,757 : x
  2. Step 2: Convert to fraction form
    7,833/14,757 = 14,757/x
  3. Step 3: Cross multiply
    7,833x = 14,757 × 14,757
  4. Step 4: Simplify right side
    7,833x = 217,769,049
  5. Step 5: Solve for x
    x = 217,769,049/7,833
  6. Step 6: Final answer
    x = 27,801.49

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.