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Finding the Third Proportional to 9,794.75 and 21,148

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Solution

The third proportional to 9,794.75 and 21,148 is: 45,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.75 : 21,148 = 21,148 : x
  2. Step 2: Convert to fraction form
    9,794.75/21,148 = 21,148/x
  3. Step 3: Cross multiply
    9,794.75x = 21,148 × 21,148
  4. Step 4: Simplify right side
    9,794.75x = 447,237,904
  5. Step 5: Solve for x
    x = 447,237,904/9,794.75
  6. Step 6: Final answer
    x = 45,660.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.