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Finding the Third Proportional to 3,170 and 7,407

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Solution

The third proportional to 3,170 and 7,407 is: 17,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 7,407 = 7,407 : x
  2. Step 2: Convert to fraction form
    3,170/7,407 = 7,407/x
  3. Step 3: Cross multiply
    3,170x = 7,407 × 7,407
  4. Step 4: Simplify right side
    3,170x = 54,863,649
  5. Step 5: Solve for x
    x = 54,863,649/3,170
  6. Step 6: Final answer
    x = 17,307.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.