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Finding the Third Proportional to 12,010 and 16,031

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Solution

The third proportional to 12,010 and 16,031 is: 21,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010 : 16,031 = 16,031 : x
  2. Step 2: Convert to fraction form
    12,010/16,031 = 16,031/x
  3. Step 3: Cross multiply
    12,010x = 16,031 × 16,031
  4. Step 4: Simplify right side
    12,010x = 256,992,961
  5. Step 5: Solve for x
    x = 256,992,961/12,010
  6. Step 6: Final answer
    x = 21,398.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.