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Finding the Third Proportional to 1,861.30 and 2,748.70

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Solution

The third proportional to 1,861.30 and 2,748.70 is: 4,059.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861.30 : 2,748.70 = 2,748.70 : x
  2. Step 2: Convert to fraction form
    1,861.30/2,748.70 = 2,748.70/x
  3. Step 3: Cross multiply
    1,861.30x = 2,748.70 × 2,748.70
  4. Step 4: Simplify right side
    1,861.30x = 7,555,352.76
  5. Step 5: Solve for x
    x = 7,555,352.76/1,861.30
  6. Step 6: Final answer
    x = 4,059.18

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.