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Finding the Third Proportional to 21,097 and 29,671

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Solution

The third proportional to 21,097 and 29,671 is: 41,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097 : 29,671 = 29,671 : x
  2. Step 2: Convert to fraction form
    21,097/29,671 = 29,671/x
  3. Step 3: Cross multiply
    21,097x = 29,671 × 29,671
  4. Step 4: Simplify right side
    21,097x = 880,368,241
  5. Step 5: Solve for x
    x = 880,368,241/21,097
  6. Step 6: Final answer
    x = 41,729.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.