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Finding the Third Proportional to 32,066 and 43,683

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Solution

The third proportional to 32,066 and 43,683 is: 59,508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066 : 43,683 = 43,683 : x
  2. Step 2: Convert to fraction form
    32,066/43,683 = 43,683/x
  3. Step 3: Cross multiply
    32,066x = 43,683 × 43,683
  4. Step 4: Simplify right side
    32,066x = 1,908,204,489
  5. Step 5: Solve for x
    x = 1,908,204,489/32,066
  6. Step 6: Final answer
    x = 59,508.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.