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Finding the Third Proportional to 11,339.19 and 15,863.49

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Solution

The third proportional to 11,339.19 and 15,863.49 is: 22,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.19 : 15,863.49 = 15,863.49 : x
  2. Step 2: Convert to fraction form
    11,339.19/15,863.49 = 15,863.49/x
  3. Step 3: Cross multiply
    11,339.19x = 15,863.49 × 15,863.49
  4. Step 4: Simplify right side
    11,339.19x = 251,650,380.51
  5. Step 5: Solve for x
    x = 251,650,380.51/11,339.19
  6. Step 6: Final answer
    x = 22,192.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.