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Finding the Third Proportional to 6,113.81 and 13,120.88

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Solution

The third proportional to 6,113.81 and 13,120.88 is: 28,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.81 : 13,120.88 = 13,120.88 : x
  2. Step 2: Convert to fraction form
    6,113.81/13,120.88 = 13,120.88/x
  3. Step 3: Cross multiply
    6,113.81x = 13,120.88 × 13,120.88
  4. Step 4: Simplify right side
    6,113.81x = 172,157,360.77
  5. Step 5: Solve for x
    x = 172,157,360.77/6,113.81
  6. Step 6: Final answer
    x = 28,158.76

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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.