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Finding the Third Proportional to 1,586.63 and 2,481.19

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Solution

The third proportional to 1,586.63 and 2,481.19 is: 3,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.63 : 2,481.19 = 2,481.19 : x
  2. Step 2: Convert to fraction form
    1,586.63/2,481.19 = 2,481.19/x
  3. Step 3: Cross multiply
    1,586.63x = 2,481.19 × 2,481.19
  4. Step 4: Simplify right side
    1,586.63x = 6,156,291.41
  5. Step 5: Solve for x
    x = 6,156,291.41/1,586.63
  6. Step 6: Final answer
    x = 3,880.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.