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Finding the Third Proportional to 27,826 and 60,370

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Solution

The third proportional to 27,826 and 60,370 is: 130,975.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826 : 60,370 = 60,370 : x
  2. Step 2: Convert to fraction form
    27,826/60,370 = 60,370/x
  3. Step 3: Cross multiply
    27,826x = 60,370 × 60,370
  4. Step 4: Simplify right side
    27,826x = 3,644,536,900
  5. Step 5: Solve for x
    x = 3,644,536,900/27,826
  6. Step 6: Final answer
    x = 130,975.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.