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Finding the Third Proportional to 13,876.31 and 30,339.56

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Solution

The third proportional to 13,876.31 and 30,339.56 is: 66,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.31 : 30,339.56 = 30,339.56 : x
  2. Step 2: Convert to fraction form
    13,876.31/30,339.56 = 30,339.56/x
  3. Step 3: Cross multiply
    13,876.31x = 30,339.56 × 30,339.56
  4. Step 4: Simplify right side
    13,876.31x = 920,489,052.69
  5. Step 5: Solve for x
    x = 920,489,052.69/13,876.31
  6. Step 6: Final answer
    x = 66,335.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.