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Finding the Third Proportional to 3,564 and 5,902

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Solution

The third proportional to 3,564 and 5,902 is: 9,773.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,902 = 5,902 : x
  2. Step 2: Convert to fraction form
    3,564/5,902 = 5,902/x
  3. Step 3: Cross multiply
    3,564x = 5,902 × 5,902
  4. Step 4: Simplify right side
    3,564x = 34,833,604
  5. Step 5: Solve for x
    x = 34,833,604/3,564
  6. Step 6: Final answer
    x = 9,773.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.