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Finding the Third Proportional to 23,444.50 and 49,964

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Solution

The third proportional to 23,444.50 and 49,964 is: 106,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.50 : 49,964 = 49,964 : x
  2. Step 2: Convert to fraction form
    23,444.50/49,964 = 49,964/x
  3. Step 3: Cross multiply
    23,444.50x = 49,964 × 49,964
  4. Step 4: Simplify right side
    23,444.50x = 2,496,401,296
  5. Step 5: Solve for x
    x = 2,496,401,296/23,444.50
  6. Step 6: Final answer
    x = 106,481.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.