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Finding the Third Proportional to 12,005 and 18,992.50

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Solution

The third proportional to 12,005 and 18,992.50 is: 30,047.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005 : 18,992.50 = 18,992.50 : x
  2. Step 2: Convert to fraction form
    12,005/18,992.50 = 18,992.50/x
  3. Step 3: Cross multiply
    12,005x = 18,992.50 × 18,992.50
  4. Step 4: Simplify right side
    12,005x = 360,715,056.25
  5. Step 5: Solve for x
    x = 360,715,056.25/12,005
  6. Step 6: Final answer
    x = 30,047.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.