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Finding the Third Proportional to 11,103.50 and 23,575

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Solution

The third proportional to 11,103.50 and 23,575 is: 50,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.50 : 23,575 = 23,575 : x
  2. Step 2: Convert to fraction form
    11,103.50/23,575 = 23,575/x
  3. Step 3: Cross multiply
    11,103.50x = 23,575 × 23,575
  4. Step 4: Simplify right side
    11,103.50x = 555,780,625
  5. Step 5: Solve for x
    x = 555,780,625/11,103.50
  6. Step 6: Final answer
    x = 50,054.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.