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Finding the Third Proportional to 8,683.45 and 20,303.79

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Solution

The third proportional to 8,683.45 and 20,303.79 is: 47,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,683.45 : 20,303.79 = 20,303.79 : x
  2. Step 2: Convert to fraction form
    8,683.45/20,303.79 = 20,303.79/x
  3. Step 3: Cross multiply
    8,683.45x = 20,303.79 × 20,303.79
  4. Step 4: Simplify right side
    8,683.45x = 412,243,850.29
  5. Step 5: Solve for x
    x = 412,243,850.29/8,683.45
  6. Step 6: Final answer
    x = 47,474.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.