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Finding the Third Proportional to 6,274 and 9,313

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Solution

The third proportional to 6,274 and 9,313 is: 13,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274 : 9,313 = 9,313 : x
  2. Step 2: Convert to fraction form
    6,274/9,313 = 9,313/x
  3. Step 3: Cross multiply
    6,274x = 9,313 × 9,313
  4. Step 4: Simplify right side
    6,274x = 86,731,969
  5. Step 5: Solve for x
    x = 86,731,969/6,274
  6. Step 6: Final answer
    x = 13,824.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.