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Finding the Third Proportional to 23,525 and 50,461

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Solution

The third proportional to 23,525 and 50,461 is: 108,238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525 : 50,461 = 50,461 : x
  2. Step 2: Convert to fraction form
    23,525/50,461 = 50,461/x
  3. Step 3: Cross multiply
    23,525x = 50,461 × 50,461
  4. Step 4: Simplify right side
    23,525x = 2,546,312,521
  5. Step 5: Solve for x
    x = 2,546,312,521/23,525
  6. Step 6: Final answer
    x = 108,238.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.