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Finding the Third Proportional to 34,590 and 74,631

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Solution

The third proportional to 34,590 and 74,631 is: 161,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,590 : 74,631 = 74,631 : x
  2. Step 2: Convert to fraction form
    34,590/74,631 = 74,631/x
  3. Step 3: Cross multiply
    34,590x = 74,631 × 74,631
  4. Step 4: Simplify right side
    34,590x = 5,569,786,161
  5. Step 5: Solve for x
    x = 5,569,786,161/34,590
  6. Step 6: Final answer
    x = 161,023.02

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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.