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Finding the Third Proportional to 23,144 and 47,929

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Solution

The third proportional to 23,144 and 47,929 is: 99,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,144 : 47,929 = 47,929 : x
  2. Step 2: Convert to fraction form
    23,144/47,929 = 47,929/x
  3. Step 3: Cross multiply
    23,144x = 47,929 × 47,929
  4. Step 4: Simplify right side
    23,144x = 2,297,189,041
  5. Step 5: Solve for x
    x = 2,297,189,041/23,144
  6. Step 6: Final answer
    x = 99,256.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.