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Finding the Third Proportional to 9,694.13 and 14,823.12

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Solution

The third proportional to 9,694.13 and 14,823.12 is: 22,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.13 : 14,823.12 = 14,823.12 : x
  2. Step 2: Convert to fraction form
    9,694.13/14,823.12 = 14,823.12/x
  3. Step 3: Cross multiply
    9,694.13x = 14,823.12 × 14,823.12
  4. Step 4: Simplify right side
    9,694.13x = 219,724,846.58
  5. Step 5: Solve for x
    x = 219,724,846.58/9,694.13
  6. Step 6: Final answer
    x = 22,665.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.