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Finding the Third Proportional to 23,806.50 and 52,283

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Solution

The third proportional to 23,806.50 and 52,283 is: 114,822.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.50 : 52,283 = 52,283 : x
  2. Step 2: Convert to fraction form
    23,806.50/52,283 = 52,283/x
  3. Step 3: Cross multiply
    23,806.50x = 52,283 × 52,283
  4. Step 4: Simplify right side
    23,806.50x = 2,733,512,089
  5. Step 5: Solve for x
    x = 2,733,512,089/23,806.50
  6. Step 6: Final answer
    x = 114,822.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.