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Finding the Third Proportional to 12,031 and 18,046

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Solution

The third proportional to 12,031 and 18,046 is: 27,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031 : 18,046 = 18,046 : x
  2. Step 2: Convert to fraction form
    12,031/18,046 = 18,046/x
  3. Step 3: Cross multiply
    12,031x = 18,046 × 18,046
  4. Step 4: Simplify right side
    12,031x = 325,658,116
  5. Step 5: Solve for x
    x = 325,658,116/12,031
  6. Step 6: Final answer
    x = 27,068.25

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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.