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Finding the Third Proportional to 22,509.75 and 48,834.94

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Solution

The third proportional to 22,509.75 and 48,834.94 is: 105,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.75 : 48,834.94 = 48,834.94 : x
  2. Step 2: Convert to fraction form
    22,509.75/48,834.94 = 48,834.94/x
  3. Step 3: Cross multiply
    22,509.75x = 48,834.94 × 48,834.94
  4. Step 4: Simplify right side
    22,509.75x = 2,384,851,120.63
  5. Step 5: Solve for x
    x = 2,384,851,120.63/22,509.75
  6. Step 6: Final answer
    x = 105,947.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.