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Finding the Third Proportional to 35,404 and 54,344

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Solution

The third proportional to 35,404 and 54,344 is: 83,416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,404 : 54,344 = 54,344 : x
  2. Step 2: Convert to fraction form
    35,404/54,344 = 54,344/x
  3. Step 3: Cross multiply
    35,404x = 54,344 × 54,344
  4. Step 4: Simplify right side
    35,404x = 2,953,270,336
  5. Step 5: Solve for x
    x = 2,953,270,336/35,404
  6. Step 6: Final answer
    x = 83,416.29

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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.