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Finding the Third Proportional to 12,131.02 and 19,033.73

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Solution

The third proportional to 12,131.02 and 19,033.73 is: 29,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,131.02 : 19,033.73 = 19,033.73 : x
  2. Step 2: Convert to fraction form
    12,131.02/19,033.73 = 19,033.73/x
  3. Step 3: Cross multiply
    12,131.02x = 19,033.73 × 19,033.73
  4. Step 4: Simplify right side
    12,131.02x = 362,283,044.26
  5. Step 5: Solve for x
    x = 362,283,044.26/12,131.02
  6. Step 6: Final answer
    x = 29,864.20

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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.