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Finding the Third Proportional to 9,796 and 14,690

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Solution

The third proportional to 9,796 and 14,690 is: 22,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 14,690 = 14,690 : x
  2. Step 2: Convert to fraction form
    9,796/14,690 = 14,690/x
  3. Step 3: Cross multiply
    9,796x = 14,690 × 14,690
  4. Step 4: Simplify right side
    9,796x = 215,796,100
  5. Step 5: Solve for x
    x = 215,796,100/9,796
  6. Step 6: Final answer
    x = 22,029.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.