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Finding the Third Proportional to 27,318 and 42,191

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Solution

The third proportional to 27,318 and 42,191 is: 65,161.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318 : 42,191 = 42,191 : x
  2. Step 2: Convert to fraction form
    27,318/42,191 = 42,191/x
  3. Step 3: Cross multiply
    27,318x = 42,191 × 42,191
  4. Step 4: Simplify right side
    27,318x = 1,780,080,481
  5. Step 5: Solve for x
    x = 1,780,080,481/27,318
  6. Step 6: Final answer
    x = 65,161.45

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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.