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Finding the Third Proportional to 33,639 and 79,294.50

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Solution

The third proportional to 33,639 and 79,294.50 is: 186,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,639 : 79,294.50 = 79,294.50 : x
  2. Step 2: Convert to fraction form
    33,639/79,294.50 = 79,294.50/x
  3. Step 3: Cross multiply
    33,639x = 79,294.50 × 79,294.50
  4. Step 4: Simplify right side
    33,639x = 6,287,617,730.25
  5. Step 5: Solve for x
    x = 6,287,617,730.25/33,639
  6. Step 6: Final answer
    x = 186,914.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.