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Finding the Third Proportional to 22,937 and 48,364.75

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Solution

The third proportional to 22,937 and 48,364.75 is: 101,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937 : 48,364.75 = 48,364.75 : x
  2. Step 2: Convert to fraction form
    22,937/48,364.75 = 48,364.75/x
  3. Step 3: Cross multiply
    22,937x = 48,364.75 × 48,364.75
  4. Step 4: Simplify right side
    22,937x = 2,339,149,042.56
  5. Step 5: Solve for x
    x = 2,339,149,042.56/22,937
  6. Step 6: Final answer
    x = 101,981.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.