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Finding the Third Proportional to 35,400 and 76,536

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Solution

The third proportional to 35,400 and 76,536 is: 165,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,400 : 76,536 = 76,536 : x
  2. Step 2: Convert to fraction form
    35,400/76,536 = 76,536/x
  3. Step 3: Cross multiply
    35,400x = 76,536 × 76,536
  4. Step 4: Simplify right side
    35,400x = 5,857,759,296
  5. Step 5: Solve for x
    x = 5,857,759,296/35,400
  6. Step 6: Final answer
    x = 165,473.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.