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Finding the Third Proportional to 1,307.93 and 2,861.48

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Solution

The third proportional to 1,307.93 and 2,861.48 is: 6,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.93 : 2,861.48 = 2,861.48 : x
  2. Step 2: Convert to fraction form
    1,307.93/2,861.48 = 2,861.48/x
  3. Step 3: Cross multiply
    1,307.93x = 2,861.48 × 2,861.48
  4. Step 4: Simplify right side
    1,307.93x = 8,188,063.49
  5. Step 5: Solve for x
    x = 8,188,063.49/1,307.93
  6. Step 6: Final answer
    x = 6,260.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.