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Finding the Third Proportional to 13,091.63 and 19,029.94

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Solution

The third proportional to 13,091.63 and 19,029.94 is: 27,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,091.63 : 19,029.94 = 19,029.94 : x
  2. Step 2: Convert to fraction form
    13,091.63/19,029.94 = 19,029.94/x
  3. Step 3: Cross multiply
    13,091.63x = 19,029.94 × 19,029.94
  4. Step 4: Simplify right side
    13,091.63x = 362,138,521.25
  5. Step 5: Solve for x
    x = 362,138,521.25/13,091.63
  6. Step 6: Final answer
    x = 27,661.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.