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Finding the Third Proportional to 1,962 and 5,313

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Solution

The third proportional to 1,962 and 5,313 is: 14,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962 : 5,313 = 5,313 : x
  2. Step 2: Convert to fraction form
    1,962/5,313 = 5,313/x
  3. Step 3: Cross multiply
    1,962x = 5,313 × 5,313
  4. Step 4: Simplify right side
    1,962x = 28,227,969
  5. Step 5: Solve for x
    x = 28,227,969/1,962
  6. Step 6: Final answer
    x = 14,387.34

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.