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Finding the Third Proportional to 11,553.75 and 24,750

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Solution

The third proportional to 11,553.75 and 24,750 is: 53,018.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.75 : 24,750 = 24,750 : x
  2. Step 2: Convert to fraction form
    11,553.75/24,750 = 24,750/x
  3. Step 3: Cross multiply
    11,553.75x = 24,750 × 24,750
  4. Step 4: Simplify right side
    11,553.75x = 612,562,500
  5. Step 5: Solve for x
    x = 612,562,500/11,553.75
  6. Step 6: Final answer
    x = 53,018.50

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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.