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Finding the Third Proportional to 34,717 and 74,708

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Solution

The third proportional to 34,717 and 74,708 is: 160,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,717 : 74,708 = 74,708 : x
  2. Step 2: Convert to fraction form
    34,717/74,708 = 74,708/x
  3. Step 3: Cross multiply
    34,717x = 74,708 × 74,708
  4. Step 4: Simplify right side
    34,717x = 5,581,285,264
  5. Step 5: Solve for x
    x = 5,581,285,264/34,717
  6. Step 6: Final answer
    x = 160,765.19

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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.