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Finding the Third Proportional to 10,968 and 17,663.25

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Solution

The third proportional to 10,968 and 17,663.25 is: 28,445.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968 : 17,663.25 = 17,663.25 : x
  2. Step 2: Convert to fraction form
    10,968/17,663.25 = 17,663.25/x
  3. Step 3: Cross multiply
    10,968x = 17,663.25 × 17,663.25
  4. Step 4: Simplify right side
    10,968x = 311,990,400.56
  5. Step 5: Solve for x
    x = 311,990,400.56/10,968
  6. Step 6: Final answer
    x = 28,445.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.