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Finding the Third Proportional to 35,400 and 54,338

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Solution

The third proportional to 35,400 and 54,338 is: 83,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,400 : 54,338 = 54,338 : x
  2. Step 2: Convert to fraction form
    35,400/54,338 = 54,338/x
  3. Step 3: Cross multiply
    35,400x = 54,338 × 54,338
  4. Step 4: Simplify right side
    35,400x = 2,952,618,244
  5. Step 5: Solve for x
    x = 2,952,618,244/35,400
  6. Step 6: Final answer
    x = 83,407.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.