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Finding the Third Proportional to 38,322 and 59,187

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Solution

The third proportional to 38,322 and 59,187 is: 91,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,322 : 59,187 = 59,187 : x
  2. Step 2: Convert to fraction form
    38,322/59,187 = 59,187/x
  3. Step 3: Cross multiply
    38,322x = 59,187 × 59,187
  4. Step 4: Simplify right side
    38,322x = 3,503,100,969
  5. Step 5: Solve for x
    x = 3,503,100,969/38,322
  6. Step 6: Final answer
    x = 91,412.27

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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.