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Finding the Third Proportional to 9,608 and 15,772

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Solution

The third proportional to 9,608 and 15,772 is: 25,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608 : 15,772 = 15,772 : x
  2. Step 2: Convert to fraction form
    9,608/15,772 = 15,772/x
  3. Step 3: Cross multiply
    9,608x = 15,772 × 15,772
  4. Step 4: Simplify right side
    9,608x = 248,755,984
  5. Step 5: Solve for x
    x = 248,755,984/9,608
  6. Step 6: Final answer
    x = 25,890.51

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.