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Finding the Third Proportional to 24,908 and 41,250

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Solution

The third proportional to 24,908 and 41,250 is: 68,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,908 : 41,250 = 41,250 : x
  2. Step 2: Convert to fraction form
    24,908/41,250 = 41,250/x
  3. Step 3: Cross multiply
    24,908x = 41,250 × 41,250
  4. Step 4: Simplify right side
    24,908x = 1,701,562,500
  5. Step 5: Solve for x
    x = 1,701,562,500/24,908
  6. Step 6: Final answer
    x = 68,313.90

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.