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Finding the Third Proportional to 34,644 and 74,823

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Solution

The third proportional to 34,644 and 74,823 is: 161,600.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,644 : 74,823 = 74,823 : x
  2. Step 2: Convert to fraction form
    34,644/74,823 = 74,823/x
  3. Step 3: Cross multiply
    34,644x = 74,823 × 74,823
  4. Step 4: Simplify right side
    34,644x = 5,598,481,329
  5. Step 5: Solve for x
    x = 5,598,481,329/34,644
  6. Step 6: Final answer
    x = 161,600.32

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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.