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Finding the Third Proportional to 9,826 and 23,176

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Solution

The third proportional to 9,826 and 23,176 is: 54,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826 : 23,176 = 23,176 : x
  2. Step 2: Convert to fraction form
    9,826/23,176 = 23,176/x
  3. Step 3: Cross multiply
    9,826x = 23,176 × 23,176
  4. Step 4: Simplify right side
    9,826x = 537,126,976
  5. Step 5: Solve for x
    x = 537,126,976/9,826
  6. Step 6: Final answer
    x = 54,663.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.