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Finding the Third Proportional to 9,756 and 19,998

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Solution

The third proportional to 9,756 and 19,998 is: 40,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 19,998 = 19,998 : x
  2. Step 2: Convert to fraction form
    9,756/19,998 = 19,998/x
  3. Step 3: Cross multiply
    9,756x = 19,998 × 19,998
  4. Step 4: Simplify right side
    9,756x = 399,920,004
  5. Step 5: Solve for x
    x = 399,920,004/9,756
  6. Step 6: Final answer
    x = 40,992.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.