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Finding the Third Proportional to 14,797.69 and 22,145.91

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Solution

The third proportional to 14,797.69 and 22,145.91 is: 33,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.69 : 22,145.91 = 22,145.91 : x
  2. Step 2: Convert to fraction form
    14,797.69/22,145.91 = 22,145.91/x
  3. Step 3: Cross multiply
    14,797.69x = 22,145.91 × 22,145.91
  4. Step 4: Simplify right side
    14,797.69x = 490,441,163.63
  5. Step 5: Solve for x
    x = 490,441,163.63/14,797.69
  6. Step 6: Final answer
    x = 33,143.10

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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.