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Finding the Third Proportional to 6,193.69 and 13,358.81

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Solution

The third proportional to 6,193.69 and 13,358.81 is: 28,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.69 : 13,358.81 = 13,358.81 : x
  2. Step 2: Convert to fraction form
    6,193.69/13,358.81 = 13,358.81/x
  3. Step 3: Cross multiply
    6,193.69x = 13,358.81 × 13,358.81
  4. Step 4: Simplify right side
    6,193.69x = 178,457,871.41
  5. Step 5: Solve for x
    x = 178,457,871.41/6,193.69
  6. Step 6: Final answer
    x = 28,812.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.