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Finding the Third Proportional to 12,038 and 18,994

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Solution

The third proportional to 12,038 and 18,994 is: 29,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038 : 18,994 = 18,994 : x
  2. Step 2: Convert to fraction form
    12,038/18,994 = 18,994/x
  3. Step 3: Cross multiply
    12,038x = 18,994 × 18,994
  4. Step 4: Simplify right side
    12,038x = 360,772,036
  5. Step 5: Solve for x
    x = 360,772,036/12,038
  6. Step 6: Final answer
    x = 29,969.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.