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Finding the Third Proportional to 14,066 and 19,083

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Solution

The third proportional to 14,066 and 19,083 is: 25,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066 : 19,083 = 19,083 : x
  2. Step 2: Convert to fraction form
    14,066/19,083 = 19,083/x
  3. Step 3: Cross multiply
    14,066x = 19,083 × 19,083
  4. Step 4: Simplify right side
    14,066x = 364,160,889
  5. Step 5: Solve for x
    x = 364,160,889/14,066
  6. Step 6: Final answer
    x = 25,889.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.