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Finding the Third Proportional to 21,197 and 31,179

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Solution

The third proportional to 21,197 and 31,179 is: 45,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197 : 31,179 = 31,179 : x
  2. Step 2: Convert to fraction form
    21,197/31,179 = 31,179/x
  3. Step 3: Cross multiply
    21,197x = 31,179 × 31,179
  4. Step 4: Simplify right side
    21,197x = 972,130,041
  5. Step 5: Solve for x
    x = 972,130,041/21,197
  6. Step 6: Final answer
    x = 45,861.68

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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.