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Finding the Third Proportional to 8,859 and 19,083

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Solution

The third proportional to 8,859 and 19,083 is: 41,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,859 : 19,083 = 19,083 : x
  2. Step 2: Convert to fraction form
    8,859/19,083 = 19,083/x
  3. Step 3: Cross multiply
    8,859x = 19,083 × 19,083
  4. Step 4: Simplify right side
    8,859x = 364,160,889
  5. Step 5: Solve for x
    x = 364,160,889/8,859
  6. Step 6: Final answer
    x = 41,106.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.