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Finding the Third Proportional to 27,354 and 58,596

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Solution

The third proportional to 27,354 and 58,596 is: 125,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354 : 58,596 = 58,596 : x
  2. Step 2: Convert to fraction form
    27,354/58,596 = 58,596/x
  3. Step 3: Cross multiply
    27,354x = 58,596 × 58,596
  4. Step 4: Simplify right side
    27,354x = 3,433,491,216
  5. Step 5: Solve for x
    x = 3,433,491,216/27,354
  6. Step 6: Final answer
    x = 125,520.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.