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Finding the Third Proportional to 10,036 and 16,031

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Solution

The third proportional to 10,036 and 16,031 is: 25,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036 : 16,031 = 16,031 : x
  2. Step 2: Convert to fraction form
    10,036/16,031 = 16,031/x
  3. Step 3: Cross multiply
    10,036x = 16,031 × 16,031
  4. Step 4: Simplify right side
    10,036x = 256,992,961
  5. Step 5: Solve for x
    x = 256,992,961/10,036
  6. Step 6: Final answer
    x = 25,607.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.