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Finding the Third Proportional to 11,401 and 17,512.50

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Solution

The third proportional to 11,401 and 17,512.50 is: 26,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401 : 17,512.50 = 17,512.50 : x
  2. Step 2: Convert to fraction form
    11,401/17,512.50 = 17,512.50/x
  3. Step 3: Cross multiply
    11,401x = 17,512.50 × 17,512.50
  4. Step 4: Simplify right side
    11,401x = 306,687,656.25
  5. Step 5: Solve for x
    x = 306,687,656.25/11,401
  6. Step 6: Final answer
    x = 26,900.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.