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Finding the Third Proportional to 14,007.38 and 30,348.56

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Solution

The third proportional to 14,007.38 and 30,348.56 is: 65,753.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.38 : 30,348.56 = 30,348.56 : x
  2. Step 2: Convert to fraction form
    14,007.38/30,348.56 = 30,348.56/x
  3. Step 3: Cross multiply
    14,007.38x = 30,348.56 × 30,348.56
  4. Step 4: Simplify right side
    14,007.38x = 921,035,245.82
  5. Step 5: Solve for x
    x = 921,035,245.82/14,007.38
  6. Step 6: Final answer
    x = 65,753.59

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Why These Related Problems?

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