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Finding the Third Proportional to 34,708 and 74,684

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Solution

The third proportional to 34,708 and 74,684 is: 160,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,708 : 74,684 = 74,684 : x
  2. Step 2: Convert to fraction form
    34,708/74,684 = 74,684/x
  3. Step 3: Cross multiply
    34,708x = 74,684 × 74,684
  4. Step 4: Simplify right side
    34,708x = 5,577,699,856
  5. Step 5: Solve for x
    x = 5,577,699,856/34,708
  6. Step 6: Final answer
    x = 160,703.58

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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.