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Finding the Third Proportional to 1,664.93 and 3,586.15

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Solution

The third proportional to 1,664.93 and 3,586.15 is: 7,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.93 : 3,586.15 = 3,586.15 : x
  2. Step 2: Convert to fraction form
    1,664.93/3,586.15 = 3,586.15/x
  3. Step 3: Cross multiply
    1,664.93x = 3,586.15 × 3,586.15
  4. Step 4: Simplify right side
    1,664.93x = 12,860,460.62
  5. Step 5: Solve for x
    x = 12,860,460.62/1,664.93
  6. Step 6: Final answer
    x = 7,724.33

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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.