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Finding the Third Proportional to 23,569 and 50,827.75

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Solution

The third proportional to 23,569 and 50,827.75 is: 109,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569 : 50,827.75 = 50,827.75 : x
  2. Step 2: Convert to fraction form
    23,569/50,827.75 = 50,827.75/x
  3. Step 3: Cross multiply
    23,569x = 50,827.75 × 50,827.75
  4. Step 4: Simplify right side
    23,569x = 2,583,460,170.06
  5. Step 5: Solve for x
    x = 2,583,460,170.06/23,569
  6. Step 6: Final answer
    x = 109,612.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.