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Finding the Third Proportional to 47,049 and 100,575

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Solution

The third proportional to 47,049 and 100,575 is: 214,995.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049 : 100,575 = 100,575 : x
  2. Step 2: Convert to fraction form
    47,049/100,575 = 100,575/x
  3. Step 3: Cross multiply
    47,049x = 100,575 × 100,575
  4. Step 4: Simplify right side
    47,049x = 10,115,330,625
  5. Step 5: Solve for x
    x = 10,115,330,625/47,049
  6. Step 6: Final answer
    x = 214,995.66

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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.