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Finding the Third Proportional to 2,962 and 5,303

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Solution

The third proportional to 2,962 and 5,303 is: 9,494.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 5,303 = 5,303 : x
  2. Step 2: Convert to fraction form
    2,962/5,303 = 5,303/x
  3. Step 3: Cross multiply
    2,962x = 5,303 × 5,303
  4. Step 4: Simplify right side
    2,962x = 28,121,809
  5. Step 5: Solve for x
    x = 28,121,809/2,962
  6. Step 6: Final answer
    x = 9,494.20

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.