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Finding the Third Proportional to 12,758 and 27,946

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Solution

The third proportional to 12,758 and 27,946 is: 61,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758 : 27,946 = 27,946 : x
  2. Step 2: Convert to fraction form
    12,758/27,946 = 27,946/x
  3. Step 3: Cross multiply
    12,758x = 27,946 × 27,946
  4. Step 4: Simplify right side
    12,758x = 780,978,916
  5. Step 5: Solve for x
    x = 780,978,916/12,758
  6. Step 6: Final answer
    x = 61,214.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.