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Finding the Third Proportional to 9,660.50 and 21,167

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Solution

The third proportional to 9,660.50 and 21,167 is: 46,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.50 : 21,167 = 21,167 : x
  2. Step 2: Convert to fraction form
    9,660.50/21,167 = 21,167/x
  3. Step 3: Cross multiply
    9,660.50x = 21,167 × 21,167
  4. Step 4: Simplify right side
    9,660.50x = 448,041,889
  5. Step 5: Solve for x
    x = 448,041,889/9,660.50
  6. Step 6: Final answer
    x = 46,378.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.