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Finding the Third Proportional to 18,683.47 and 36,847.96

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Solution

The third proportional to 18,683.47 and 36,847.96 is: 72,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,683.47 : 36,847.96 = 36,847.96 : x
  2. Step 2: Convert to fraction form
    18,683.47/36,847.96 = 36,847.96/x
  3. Step 3: Cross multiply
    18,683.47x = 36,847.96 × 36,847.96
  4. Step 4: Simplify right side
    18,683.47x = 1,357,772,153.28
  5. Step 5: Solve for x
    x = 1,357,772,153.28/18,683.47
  6. Step 6: Final answer
    x = 72,672.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.