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Finding the Third Proportional to 7,147 and 14,833

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Solution

The third proportional to 7,147 and 14,833 is: 30,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147 : 14,833 = 14,833 : x
  2. Step 2: Convert to fraction form
    7,147/14,833 = 14,833/x
  3. Step 3: Cross multiply
    7,147x = 14,833 × 14,833
  4. Step 4: Simplify right side
    7,147x = 220,017,889
  5. Step 5: Solve for x
    x = 220,017,889/7,147
  6. Step 6: Final answer
    x = 30,784.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.