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Finding the Third Proportional to 23,265 and 50,931

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Solution

The third proportional to 23,265 and 50,931 is: 111,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265 : 50,931 = 50,931 : x
  2. Step 2: Convert to fraction form
    23,265/50,931 = 50,931/x
  3. Step 3: Cross multiply
    23,265x = 50,931 × 50,931
  4. Step 4: Simplify right side
    23,265x = 2,593,966,761
  5. Step 5: Solve for x
    x = 2,593,966,761/23,265
  6. Step 6: Final answer
    x = 111,496.53

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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.