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Finding the Third Proportional to 13,139.72 and 19,846.27

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Solution

The third proportional to 13,139.72 and 19,846.27 is: 29,975.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.72 : 19,846.27 = 19,846.27 : x
  2. Step 2: Convert to fraction form
    13,139.72/19,846.27 = 19,846.27/x
  3. Step 3: Cross multiply
    13,139.72x = 19,846.27 × 19,846.27
  4. Step 4: Simplify right side
    13,139.72x = 393,874,259.26
  5. Step 5: Solve for x
    x = 393,874,259.26/13,139.72
  6. Step 6: Final answer
    x = 29,975.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.