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Finding the Third Proportional to 34,850 and 74,404

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Solution

The third proportional to 34,850 and 74,404 is: 158,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,850 : 74,404 = 74,404 : x
  2. Step 2: Convert to fraction form
    34,850/74,404 = 74,404/x
  3. Step 3: Cross multiply
    34,850x = 74,404 × 74,404
  4. Step 4: Simplify right side
    34,850x = 5,535,955,216
  5. Step 5: Solve for x
    x = 5,535,955,216/34,850
  6. Step 6: Final answer
    x = 158,850.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.