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Finding the Third Proportional to 9,714.94 and 20,811.94

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Solution

The third proportional to 9,714.94 and 20,811.94 is: 44,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.94 : 20,811.94 = 20,811.94 : x
  2. Step 2: Convert to fraction form
    9,714.94/20,811.94 = 20,811.94/x
  3. Step 3: Cross multiply
    9,714.94x = 20,811.94 × 20,811.94
  4. Step 4: Simplify right side
    9,714.94x = 433,136,742.50
  5. Step 5: Solve for x
    x = 433,136,742.50/9,714.94
  6. Step 6: Final answer
    x = 44,584.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.