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Finding the Third Proportional to 14,200.31 and 30,595.22

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Solution

The third proportional to 14,200.31 and 30,595.22 is: 65,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.31 : 30,595.22 = 30,595.22 : x
  2. Step 2: Convert to fraction form
    14,200.31/30,595.22 = 30,595.22/x
  3. Step 3: Cross multiply
    14,200.31x = 30,595.22 × 30,595.22
  4. Step 4: Simplify right side
    14,200.31x = 936,067,410.36
  5. Step 5: Solve for x
    x = 936,067,410.36/14,200.31
  6. Step 6: Final answer
    x = 65,918.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.