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Finding the Third Proportional to 3,594 and 3,918

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Solution

The third proportional to 3,594 and 3,918 is: 4,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594 : 3,918 = 3,918 : x
  2. Step 2: Convert to fraction form
    3,594/3,918 = 3,918/x
  3. Step 3: Cross multiply
    3,594x = 3,918 × 3,918
  4. Step 4: Simplify right side
    3,594x = 15,350,724
  5. Step 5: Solve for x
    x = 15,350,724/3,594
  6. Step 6: Final answer
    x = 4,271.21

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.