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Finding the Third Proportional to 14,145 and 29,451.38

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Solution

The third proportional to 14,145 and 29,451.38 is: 61,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145 : 29,451.38 = 29,451.38 : x
  2. Step 2: Convert to fraction form
    14,145/29,451.38 = 29,451.38/x
  3. Step 3: Cross multiply
    14,145x = 29,451.38 × 29,451.38
  4. Step 4: Simplify right side
    14,145x = 867,383,489.39
  5. Step 5: Solve for x
    x = 867,383,489.39/14,145
  6. Step 6: Final answer
    x = 61,320.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.