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Finding the Third Proportional to 26,378 and 46,908

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Solution

The third proportional to 26,378 and 46,908 is: 83,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,378 : 46,908 = 46,908 : x
  2. Step 2: Convert to fraction form
    26,378/46,908 = 46,908/x
  3. Step 3: Cross multiply
    26,378x = 46,908 × 46,908
  4. Step 4: Simplify right side
    26,378x = 2,200,360,464
  5. Step 5: Solve for x
    x = 2,200,360,464/26,378
  6. Step 6: Final answer
    x = 83,416.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.