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Finding the Third Proportional to 11,650 and 17,313

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Solution

The third proportional to 11,650 and 17,313 is: 25,728.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 17,313 = 17,313 : x
  2. Step 2: Convert to fraction form
    11,650/17,313 = 17,313/x
  3. Step 3: Cross multiply
    11,650x = 17,313 × 17,313
  4. Step 4: Simplify right side
    11,650x = 299,739,969
  5. Step 5: Solve for x
    x = 299,739,969/11,650
  6. Step 6: Final answer
    x = 25,728.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.