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Finding the Third Proportional to 7,098 and 9,947

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Solution

The third proportional to 7,098 and 9,947 is: 13,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098 : 9,947 = 9,947 : x
  2. Step 2: Convert to fraction form
    7,098/9,947 = 9,947/x
  3. Step 3: Cross multiply
    7,098x = 9,947 × 9,947
  4. Step 4: Simplify right side
    7,098x = 98,942,809
  5. Step 5: Solve for x
    x = 98,942,809/7,098
  6. Step 6: Final answer
    x = 13,939.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.