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Finding the Third Proportional to 6,368.63 and 8,003.81

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Solution

The third proportional to 6,368.63 and 8,003.81 is: 10,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.63 : 8,003.81 = 8,003.81 : x
  2. Step 2: Convert to fraction form
    6,368.63/8,003.81 = 8,003.81/x
  3. Step 3: Cross multiply
    6,368.63x = 8,003.81 × 8,003.81
  4. Step 4: Simplify right side
    6,368.63x = 64,061,014.54
  5. Step 5: Solve for x
    x = 64,061,014.54/6,368.63
  6. Step 6: Final answer
    x = 10,058.85

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.