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Finding the Third Proportional to 9,708.75 and 25,983

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Solution

The third proportional to 9,708.75 and 25,983 is: 69,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 25,983 = 25,983 : x
  2. Step 2: Convert to fraction form
    9,708.75/25,983 = 25,983/x
  3. Step 3: Cross multiply
    9,708.75x = 25,983 × 25,983
  4. Step 4: Simplify right side
    9,708.75x = 675,116,289
  5. Step 5: Solve for x
    x = 675,116,289/9,708.75
  6. Step 6: Final answer
    x = 69,536.89

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.