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Finding the Third Proportional to 35,497 and 76,462

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Solution

The third proportional to 35,497 and 76,462 is: 164,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,497 : 76,462 = 76,462 : x
  2. Step 2: Convert to fraction form
    35,497/76,462 = 76,462/x
  3. Step 3: Cross multiply
    35,497x = 76,462 × 76,462
  4. Step 4: Simplify right side
    35,497x = 5,846,437,444
  5. Step 5: Solve for x
    x = 5,846,437,444/35,497
  6. Step 6: Final answer
    x = 164,702.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.