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Finding the Third Proportional to 6,113.63 and 13,399.31

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Solution

The third proportional to 6,113.63 and 13,399.31 is: 29,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.63 : 13,399.31 = 13,399.31 : x
  2. Step 2: Convert to fraction form
    6,113.63/13,399.31 = 13,399.31/x
  3. Step 3: Cross multiply
    6,113.63x = 13,399.31 × 13,399.31
  4. Step 4: Simplify right side
    6,113.63x = 179,541,575.47
  5. Step 5: Solve for x
    x = 179,541,575.47/6,113.63
  6. Step 6: Final answer
    x = 29,367.45

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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.