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Finding the Third Proportional to 12,551.06 and 19,434.09

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Solution

The third proportional to 12,551.06 and 19,434.09 is: 30,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.06 : 19,434.09 = 19,434.09 : x
  2. Step 2: Convert to fraction form
    12,551.06/19,434.09 = 19,434.09/x
  3. Step 3: Cross multiply
    12,551.06x = 19,434.09 × 19,434.09
  4. Step 4: Simplify right side
    12,551.06x = 377,683,999.88
  5. Step 5: Solve for x
    x = 377,683,999.88/12,551.06
  6. Step 6: Final answer
    x = 30,091.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.