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Finding the Third Proportional to 2,861.18 and 6,153.79

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Solution

The third proportional to 2,861.18 and 6,153.79 is: 13,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.18 : 6,153.79 = 6,153.79 : x
  2. Step 2: Convert to fraction form
    2,861.18/6,153.79 = 6,153.79/x
  3. Step 3: Cross multiply
    2,861.18x = 6,153.79 × 6,153.79
  4. Step 4: Simplify right side
    2,861.18x = 37,869,071.75
  5. Step 5: Solve for x
    x = 37,869,071.75/2,861.18
  6. Step 6: Final answer
    x = 13,235.46

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Why These Related Problems?

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