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Finding the Third Proportional to 30,032 and 61,968

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Solution

The third proportional to 30,032 and 61,968 is: 127,864.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032 : 61,968 = 61,968 : x
  2. Step 2: Convert to fraction form
    30,032/61,968 = 61,968/x
  3. Step 3: Cross multiply
    30,032x = 61,968 × 61,968
  4. Step 4: Simplify right side
    30,032x = 3,840,033,024
  5. Step 5: Solve for x
    x = 3,840,033,024/30,032
  6. Step 6: Final answer
    x = 127,864.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.