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Finding the Third Proportional to 14,048 and 21,031

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Solution

The third proportional to 14,048 and 21,031 is: 31,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048 : 21,031 = 21,031 : x
  2. Step 2: Convert to fraction form
    14,048/21,031 = 21,031/x
  3. Step 3: Cross multiply
    14,048x = 21,031 × 21,031
  4. Step 4: Simplify right side
    14,048x = 442,302,961
  5. Step 5: Solve for x
    x = 442,302,961/14,048
  6. Step 6: Final answer
    x = 31,485.12

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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.