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Finding the Third Proportional to 9,714.38 and 20,806.94

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Solution

The third proportional to 9,714.38 and 20,806.94 is: 44,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.38 : 20,806.94 = 20,806.94 : x
  2. Step 2: Convert to fraction form
    9,714.38/20,806.94 = 20,806.94/x
  3. Step 3: Cross multiply
    9,714.38x = 20,806.94 × 20,806.94
  4. Step 4: Simplify right side
    9,714.38x = 432,928,648.13
  5. Step 5: Solve for x
    x = 432,928,648.13/9,714.38
  6. Step 6: Final answer
    x = 44,565.77

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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.