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Finding the Third Proportional to 9,796 and 13,998

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Solution

The third proportional to 9,796 and 13,998 is: 20,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 13,998 = 13,998 : x
  2. Step 2: Convert to fraction form
    9,796/13,998 = 13,998/x
  3. Step 3: Cross multiply
    9,796x = 13,998 × 13,998
  4. Step 4: Simplify right side
    9,796x = 195,944,004
  5. Step 5: Solve for x
    x = 195,944,004/9,796
  6. Step 6: Final answer
    x = 20,002.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.