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Finding the Third Proportional to 12,182.06 and 18,307.69

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Solution

The third proportional to 12,182.06 and 18,307.69 is: 27,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.06 : 18,307.69 = 18,307.69 : x
  2. Step 2: Convert to fraction form
    12,182.06/18,307.69 = 18,307.69/x
  3. Step 3: Cross multiply
    12,182.06x = 18,307.69 × 18,307.69
  4. Step 4: Simplify right side
    12,182.06x = 335,171,421.60
  5. Step 5: Solve for x
    x = 335,171,421.60/12,182.06
  6. Step 6: Final answer
    x = 27,513.52

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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.