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Finding the Third Proportional to 6,364.83 and 13,958.58

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Solution

The third proportional to 6,364.83 and 13,958.58 is: 30,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.83 : 13,958.58 = 13,958.58 : x
  2. Step 2: Convert to fraction form
    6,364.83/13,958.58 = 13,958.58/x
  3. Step 3: Cross multiply
    6,364.83x = 13,958.58 × 13,958.58
  4. Step 4: Simplify right side
    6,364.83x = 194,841,903.27
  5. Step 5: Solve for x
    x = 194,841,903.27/6,364.83
  6. Step 6: Final answer
    x = 30,612.28

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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.