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Finding the Third Proportional to 20,032 and 40,968

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Solution

The third proportional to 20,032 and 40,968 is: 83,784.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032 : 40,968 = 40,968 : x
  2. Step 2: Convert to fraction form
    20,032/40,968 = 40,968/x
  3. Step 3: Cross multiply
    20,032x = 40,968 × 40,968
  4. Step 4: Simplify right side
    20,032x = 1,678,377,024
  5. Step 5: Solve for x
    x = 1,678,377,024/20,032
  6. Step 6: Final answer
    x = 83,784.80

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.