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Finding the Third Proportional to 18,406 and 29,259

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Solution

The third proportional to 18,406 and 29,259 is: 46,511.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 29,259 = 29,259 : x
  2. Step 2: Convert to fraction form
    18,406/29,259 = 29,259/x
  3. Step 3: Cross multiply
    18,406x = 29,259 × 29,259
  4. Step 4: Simplify right side
    18,406x = 856,089,081
  5. Step 5: Solve for x
    x = 856,089,081/18,406
  6. Step 6: Final answer
    x = 46,511.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.