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Finding the Third Proportional to 12,031.50 and 18,903

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Solution

The third proportional to 12,031.50 and 18,903 is: 29,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.50 : 18,903 = 18,903 : x
  2. Step 2: Convert to fraction form
    12,031.50/18,903 = 18,903/x
  3. Step 3: Cross multiply
    12,031.50x = 18,903 × 18,903
  4. Step 4: Simplify right side
    12,031.50x = 357,323,409
  5. Step 5: Solve for x
    x = 357,323,409/12,031.50
  6. Step 6: Final answer
    x = 29,698.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.