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Finding the Third Proportional to 9,714.94 and 20,980.69

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Solution

The third proportional to 9,714.94 and 20,980.69 is: 45,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 20,980.69 = 20,980.69 : x
  2. Step 2: Convert to fraction form
    9,714.94/20,980.69 = 20,980.69/x
  3. Step 3: Cross multiply
    9,714.94x = 20,980.69 × 20,980.69
  4. Step 4: Simplify right side
    9,714.94x = 440,189,247.97
  5. Step 5: Solve for x
    x = 440,189,247.97/9,714.94
  6. Step 6: Final answer
    x = 45,310.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.