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Finding the Third Proportional to 23,116 and 33,034

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Solution

The third proportional to 23,116 and 33,034 is: 47,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116 : 33,034 = 33,034 : x
  2. Step 2: Convert to fraction form
    23,116/33,034 = 33,034/x
  3. Step 3: Cross multiply
    23,116x = 33,034 × 33,034
  4. Step 4: Simplify right side
    23,116x = 1,091,245,156
  5. Step 5: Solve for x
    x = 1,091,245,156/23,116
  6. Step 6: Final answer
    x = 47,207.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.