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Finding the Third Proportional to 26,596 and 55,946

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Solution

The third proportional to 26,596 and 55,946 is: 117,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 55,946 = 55,946 : x
  2. Step 2: Convert to fraction form
    26,596/55,946 = 55,946/x
  3. Step 3: Cross multiply
    26,596x = 55,946 × 55,946
  4. Step 4: Simplify right side
    26,596x = 3,129,954,916
  5. Step 5: Solve for x
    x = 3,129,954,916/26,596
  6. Step 6: Final answer
    x = 117,685.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.