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Finding the Third Proportional to 34,689 and 74,841

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Solution

The third proportional to 34,689 and 74,841 is: 161,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,689 : 74,841 = 74,841 : x
  2. Step 2: Convert to fraction form
    34,689/74,841 = 74,841/x
  3. Step 3: Cross multiply
    34,689x = 74,841 × 74,841
  4. Step 4: Simplify right side
    34,689x = 5,601,175,281
  5. Step 5: Solve for x
    x = 5,601,175,281/34,689
  6. Step 6: Final answer
    x = 161,468.34

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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.