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Finding the Third Proportional to 14,028.61 and 20,519.58

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Solution

The third proportional to 14,028.61 and 20,519.58 is: 30,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,028.61 : 20,519.58 = 20,519.58 : x
  2. Step 2: Convert to fraction form
    14,028.61/20,519.58 = 20,519.58/x
  3. Step 3: Cross multiply
    14,028.61x = 20,519.58 × 20,519.58
  4. Step 4: Simplify right side
    14,028.61x = 421,053,086.43
  5. Step 5: Solve for x
    x = 421,053,086.43/14,028.61
  6. Step 6: Final answer
    x = 30,013.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.