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Finding the Third Proportional to 23,447 and 50,899

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Solution

The third proportional to 23,447 and 50,899 is: 110,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447 : 50,899 = 50,899 : x
  2. Step 2: Convert to fraction form
    23,447/50,899 = 50,899/x
  3. Step 3: Cross multiply
    23,447x = 50,899 × 50,899
  4. Step 4: Simplify right side
    23,447x = 2,590,708,201
  5. Step 5: Solve for x
    x = 2,590,708,201/23,447
  6. Step 6: Final answer
    x = 110,492.10

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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.