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Finding the Third Proportional to 8,774 and 13,205

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Solution

The third proportional to 8,774 and 13,205 is: 19,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774 : 13,205 = 13,205 : x
  2. Step 2: Convert to fraction form
    8,774/13,205 = 13,205/x
  3. Step 3: Cross multiply
    8,774x = 13,205 × 13,205
  4. Step 4: Simplify right side
    8,774x = 174,372,025
  5. Step 5: Solve for x
    x = 174,372,025/8,774
  6. Step 6: Final answer
    x = 19,873.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.