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Finding the Third Proportional to 34,569 and 74,393

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Solution

The third proportional to 34,569 and 74,393 is: 160,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,569 : 74,393 = 74,393 : x
  2. Step 2: Convert to fraction form
    34,569/74,393 = 74,393/x
  3. Step 3: Cross multiply
    34,569x = 74,393 × 74,393
  4. Step 4: Simplify right side
    34,569x = 5,534,318,449
  5. Step 5: Solve for x
    x = 5,534,318,449/34,569
  6. Step 6: Final answer
    x = 160,094.84

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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.