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Finding the Third Proportional to 33,948 and 74,583

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Solution

The third proportional to 33,948 and 74,583 is: 163,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,948 : 74,583 = 74,583 : x
  2. Step 2: Convert to fraction form
    33,948/74,583 = 74,583/x
  3. Step 3: Cross multiply
    33,948x = 74,583 × 74,583
  4. Step 4: Simplify right side
    33,948x = 5,562,623,889
  5. Step 5: Solve for x
    x = 5,562,623,889/33,948
  6. Step 6: Final answer
    x = 163,857.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.