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Finding the Third Proportional to 18,433 and 28,186.50

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Solution

The third proportional to 18,433 and 28,186.50 is: 43,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433 : 28,186.50 = 28,186.50 : x
  2. Step 2: Convert to fraction form
    18,433/28,186.50 = 28,186.50/x
  3. Step 3: Cross multiply
    18,433x = 28,186.50 × 28,186.50
  4. Step 4: Simplify right side
    18,433x = 794,478,782.25
  5. Step 5: Solve for x
    x = 794,478,782.25/18,433
  6. Step 6: Final answer
    x = 43,100.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.