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Finding the Third Proportional to 12,045 and 18,919.50

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Solution

The third proportional to 12,045 and 18,919.50 is: 29,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045 : 18,919.50 = 18,919.50 : x
  2. Step 2: Convert to fraction form
    12,045/18,919.50 = 18,919.50/x
  3. Step 3: Cross multiply
    12,045x = 18,919.50 × 18,919.50
  4. Step 4: Simplify right side
    12,045x = 357,947,480.25
  5. Step 5: Solve for x
    x = 357,947,480.25/12,045
  6. Step 6: Final answer
    x = 29,717.52

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