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Finding the Third Proportional to 14,149.69 and 30,147.19

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Solution

The third proportional to 14,149.69 and 30,147.19 is: 64,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.69 : 30,147.19 = 30,147.19 : x
  2. Step 2: Convert to fraction form
    14,149.69/30,147.19 = 30,147.19/x
  3. Step 3: Cross multiply
    14,149.69x = 30,147.19 × 30,147.19
  4. Step 4: Simplify right side
    14,149.69x = 908,852,914.16
  5. Step 5: Solve for x
    x = 908,852,914.16/14,149.69
  6. Step 6: Final answer
    x = 64,231.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.