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Finding the Third Proportional to 33,358 and 46,914

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Solution

The third proportional to 33,358 and 46,914 is: 65,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,358 : 46,914 = 46,914 : x
  2. Step 2: Convert to fraction form
    33,358/46,914 = 46,914/x
  3. Step 3: Cross multiply
    33,358x = 46,914 × 46,914
  4. Step 4: Simplify right side
    33,358x = 2,200,923,396
  5. Step 5: Solve for x
    x = 2,200,923,396/33,358
  6. Step 6: Final answer
    x = 65,978.88

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.