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Finding the Third Proportional to 13,096.69 and 30,349.69

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Solution

The third proportional to 13,096.69 and 30,349.69 is: 70,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.69 : 30,349.69 = 30,349.69 : x
  2. Step 2: Convert to fraction form
    13,096.69/30,349.69 = 30,349.69/x
  3. Step 3: Cross multiply
    13,096.69x = 30,349.69 × 30,349.69
  4. Step 4: Simplify right side
    13,096.69x = 921,103,531.35
  5. Step 5: Solve for x
    x = 921,103,531.35/13,096.69
  6. Step 6: Final answer
    x = 70,331.03

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.