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Finding the Third Proportional to 20,072 and 32,062

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Solution

The third proportional to 20,072 and 32,062 is: 51,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,072 : 32,062 = 32,062 : x
  2. Step 2: Convert to fraction form
    20,072/32,062 = 32,062/x
  3. Step 3: Cross multiply
    20,072x = 32,062 × 32,062
  4. Step 4: Simplify right side
    20,072x = 1,027,971,844
  5. Step 5: Solve for x
    x = 1,027,971,844/20,072
  6. Step 6: Final answer
    x = 51,214.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.