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Finding the Third Proportional to 10,147 and 14,947

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Solution

The third proportional to 10,147 and 14,947 is: 22,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147 : 14,947 = 14,947 : x
  2. Step 2: Convert to fraction form
    10,147/14,947 = 14,947/x
  3. Step 3: Cross multiply
    10,147x = 14,947 × 14,947
  4. Step 4: Simplify right side
    10,147x = 223,412,809
  5. Step 5: Solve for x
    x = 223,412,809/10,147
  6. Step 6: Final answer
    x = 22,017.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.