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Finding the Third Proportional to 21,167 and 31,093

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Solution

The third proportional to 21,167 and 31,093 is: 45,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167 : 31,093 = 31,093 : x
  2. Step 2: Convert to fraction form
    21,167/31,093 = 31,093/x
  3. Step 3: Cross multiply
    21,167x = 31,093 × 31,093
  4. Step 4: Simplify right side
    21,167x = 966,774,649
  5. Step 5: Solve for x
    x = 966,774,649/21,167
  6. Step 6: Final answer
    x = 45,673.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.