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Finding the Third Proportional to 1,586.63 and 3,420.75

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Solution

The third proportional to 1,586.63 and 3,420.75 is: 7,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.63 : 3,420.75 = 3,420.75 : x
  2. Step 2: Convert to fraction form
    1,586.63/3,420.75 = 3,420.75/x
  3. Step 3: Cross multiply
    1,586.63x = 3,420.75 × 3,420.75
  4. Step 4: Simplify right side
    1,586.63x = 11,701,530.56
  5. Step 5: Solve for x
    x = 11,701,530.56/1,586.63
  6. Step 6: Final answer
    x = 7,375.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.