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Finding the Third Proportional to 22,976 and 34,033

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Solution

The third proportional to 22,976 and 34,033 is: 50,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,976 : 34,033 = 34,033 : x
  2. Step 2: Convert to fraction form
    22,976/34,033 = 34,033/x
  3. Step 3: Cross multiply
    22,976x = 34,033 × 34,033
  4. Step 4: Simplify right side
    22,976x = 1,158,245,089
  5. Step 5: Solve for x
    x = 1,158,245,089/22,976
  6. Step 6: Final answer
    x = 50,411.09

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.