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Finding the Third Proportional to 14,034.50 and 30,429.69

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Solution

The third proportional to 14,034.50 and 30,429.69 is: 65,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.50 : 30,429.69 = 30,429.69 : x
  2. Step 2: Convert to fraction form
    14,034.50/30,429.69 = 30,429.69/x
  3. Step 3: Cross multiply
    14,034.50x = 30,429.69 × 30,429.69
  4. Step 4: Simplify right side
    14,034.50x = 925,965,881.35
  5. Step 5: Solve for x
    x = 925,965,881.35/14,034.50
  6. Step 6: Final answer
    x = 65,977.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.