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Finding the Third Proportional to 11,953 and 18,433.50

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Solution

The third proportional to 11,953 and 18,433.50 is: 28,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953 : 18,433.50 = 18,433.50 : x
  2. Step 2: Convert to fraction form
    11,953/18,433.50 = 18,433.50/x
  3. Step 3: Cross multiply
    11,953x = 18,433.50 × 18,433.50
  4. Step 4: Simplify right side
    11,953x = 339,793,922.25
  5. Step 5: Solve for x
    x = 339,793,922.25/11,953
  6. Step 6: Final answer
    x = 28,427.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.