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Finding the Third Proportional to 3,402 and 5,301

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Solution

The third proportional to 3,402 and 5,301 is: 8,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402 : 5,301 = 5,301 : x
  2. Step 2: Convert to fraction form
    3,402/5,301 = 5,301/x
  3. Step 3: Cross multiply
    3,402x = 5,301 × 5,301
  4. Step 4: Simplify right side
    3,402x = 28,100,601
  5. Step 5: Solve for x
    x = 28,100,601/3,402
  6. Step 6: Final answer
    x = 8,260.02

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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.