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Finding the Third Proportional to 12,150 and 25,983.91

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Solution

The third proportional to 12,150 and 25,983.91 is: 55,569.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150 : 25,983.91 = 25,983.91 : x
  2. Step 2: Convert to fraction form
    12,150/25,983.91 = 25,983.91/x
  3. Step 3: Cross multiply
    12,150x = 25,983.91 × 25,983.91
  4. Step 4: Simplify right side
    12,150x = 675,163,790.01
  5. Step 5: Solve for x
    x = 675,163,790.01/12,150
  6. Step 6: Final answer
    x = 55,569.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.