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Finding the Third Proportional to 14,031 and 21,083

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Solution

The third proportional to 14,031 and 21,083 is: 31,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,031 : 21,083 = 21,083 : x
  2. Step 2: Convert to fraction form
    14,031/21,083 = 21,083/x
  3. Step 3: Cross multiply
    14,031x = 21,083 × 21,083
  4. Step 4: Simplify right side
    14,031x = 444,492,889
  5. Step 5: Solve for x
    x = 444,492,889/14,031
  6. Step 6: Final answer
    x = 31,679.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.