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Finding the Third Proportional to 12,698 and 18,971

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Solution

The third proportional to 12,698 and 18,971 is: 28,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698 : 18,971 = 18,971 : x
  2. Step 2: Convert to fraction form
    12,698/18,971 = 18,971/x
  3. Step 3: Cross multiply
    12,698x = 18,971 × 18,971
  4. Step 4: Simplify right side
    12,698x = 359,898,841
  5. Step 5: Solve for x
    x = 359,898,841/12,698
  6. Step 6: Final answer
    x = 28,342.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.