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Finding the Third Proportional to 47,936 and 72,575

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Solution

The third proportional to 47,936 and 72,575 is: 109,878.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,936 : 72,575 = 72,575 : x
  2. Step 2: Convert to fraction form
    47,936/72,575 = 72,575/x
  3. Step 3: Cross multiply
    47,936x = 72,575 × 72,575
  4. Step 4: Simplify right side
    47,936x = 5,267,130,625
  5. Step 5: Solve for x
    x = 5,267,130,625/47,936
  6. Step 6: Final answer
    x = 109,878.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.