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Finding the Third Proportional to 13,422.38 and 19,644.19

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Solution

The third proportional to 13,422.38 and 19,644.19 is: 28,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.38 : 19,644.19 = 19,644.19 : x
  2. Step 2: Convert to fraction form
    13,422.38/19,644.19 = 19,644.19/x
  3. Step 3: Cross multiply
    13,422.38x = 19,644.19 × 19,644.19
  4. Step 4: Simplify right side
    13,422.38x = 385,894,102.54
  5. Step 5: Solve for x
    x = 385,894,102.54/13,422.38
  6. Step 6: Final answer
    x = 28,750.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.