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Finding the Third Proportional to 12,919.50 and 23,812.88

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Solution

The third proportional to 12,919.50 and 23,812.88 is: 43,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,919.50 : 23,812.88 = 23,812.88 : x
  2. Step 2: Convert to fraction form
    12,919.50/23,812.88 = 23,812.88/x
  3. Step 3: Cross multiply
    12,919.50x = 23,812.88 × 23,812.88
  4. Step 4: Simplify right side
    12,919.50x = 567,053,015.77
  5. Step 5: Solve for x
    x = 567,053,015.77/12,919.50
  6. Step 6: Final answer
    x = 43,891.25

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.