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Finding the Third Proportional to 12,331 and 18,973

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Solution

The third proportional to 12,331 and 18,973 is: 29,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331 : 18,973 = 18,973 : x
  2. Step 2: Convert to fraction form
    12,331/18,973 = 18,973/x
  3. Step 3: Cross multiply
    12,331x = 18,973 × 18,973
  4. Step 4: Simplify right side
    12,331x = 359,974,729
  5. Step 5: Solve for x
    x = 359,974,729/12,331
  6. Step 6: Final answer
    x = 29,192.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.