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Finding the Third Proportional to 27,181.50 and 38,278

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Solution

The third proportional to 27,181.50 and 38,278 is: 53,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.50 : 38,278 = 38,278 : x
  2. Step 2: Convert to fraction form
    27,181.50/38,278 = 38,278/x
  3. Step 3: Cross multiply
    27,181.50x = 38,278 × 38,278
  4. Step 4: Simplify right side
    27,181.50x = 1,465,205,284
  5. Step 5: Solve for x
    x = 1,465,205,284/27,181.50
  6. Step 6: Final answer
    x = 53,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.