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Finding the Third Proportional to 35,424 and 54,252

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Solution

The third proportional to 35,424 and 54,252 is: 83,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424 : 54,252 = 54,252 : x
  2. Step 2: Convert to fraction form
    35,424/54,252 = 54,252/x
  3. Step 3: Cross multiply
    35,424x = 54,252 × 54,252
  4. Step 4: Simplify right side
    35,424x = 2,943,279,504
  5. Step 5: Solve for x
    x = 2,943,279,504/35,424
  6. Step 6: Final answer
    x = 83,087.16

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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.