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Finding the Third Proportional to 12,102.75 and 18,167.63

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Solution

The third proportional to 12,102.75 and 18,167.63 is: 27,271.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.75 : 18,167.63 = 18,167.63 : x
  2. Step 2: Convert to fraction form
    12,102.75/18,167.63 = 18,167.63/x
  3. Step 3: Cross multiply
    12,102.75x = 18,167.63 × 18,167.63
  4. Step 4: Simplify right side
    12,102.75x = 330,062,598.14
  5. Step 5: Solve for x
    x = 330,062,598.14/12,102.75
  6. Step 6: Final answer
    x = 27,271.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.