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Finding the Third Proportional to 23,213 and 41,818

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Solution

The third proportional to 23,213 and 41,818 is: 75,334.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213 : 41,818 = 41,818 : x
  2. Step 2: Convert to fraction form
    23,213/41,818 = 41,818/x
  3. Step 3: Cross multiply
    23,213x = 41,818 × 41,818
  4. Step 4: Simplify right side
    23,213x = 1,748,745,124
  5. Step 5: Solve for x
    x = 1,748,745,124/23,213
  6. Step 6: Final answer
    x = 75,334.73

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.