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Finding the Third Proportional to 23,000 and 50,306

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Solution

The third proportional to 23,000 and 50,306 is: 110,030.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 50,306 = 50,306 : x
  2. Step 2: Convert to fraction form
    23,000/50,306 = 50,306/x
  3. Step 3: Cross multiply
    23,000x = 50,306 × 50,306
  4. Step 4: Simplify right side
    23,000x = 2,530,693,636
  5. Step 5: Solve for x
    x = 2,530,693,636/23,000
  6. Step 6: Final answer
    x = 110,030.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.