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Finding the Third Proportional to 12,046 and 17,965

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Solution

The third proportional to 12,046 and 17,965 is: 26,792.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046 : 17,965 = 17,965 : x
  2. Step 2: Convert to fraction form
    12,046/17,965 = 17,965/x
  3. Step 3: Cross multiply
    12,046x = 17,965 × 17,965
  4. Step 4: Simplify right side
    12,046x = 322,741,225
  5. Step 5: Solve for x
    x = 322,741,225/12,046
  6. Step 6: Final answer
    x = 26,792.40

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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.