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Finding the Third Proportional to 26,128 and 50,942

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Solution

The third proportional to 26,128 and 50,942 is: 99,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,128 : 50,942 = 50,942 : x
  2. Step 2: Convert to fraction form
    26,128/50,942 = 50,942/x
  3. Step 3: Cross multiply
    26,128x = 50,942 × 50,942
  4. Step 4: Simplify right side
    26,128x = 2,595,087,364
  5. Step 5: Solve for x
    x = 2,595,087,364/26,128
  6. Step 6: Final answer
    x = 99,322.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.