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Finding the Third Proportional to 33,072 and 46,260

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Solution

The third proportional to 33,072 and 46,260 is: 64,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,072 : 46,260 = 46,260 : x
  2. Step 2: Convert to fraction form
    33,072/46,260 = 46,260/x
  3. Step 3: Cross multiply
    33,072x = 46,260 × 46,260
  4. Step 4: Simplify right side
    33,072x = 2,139,987,600
  5. Step 5: Solve for x
    x = 2,139,987,600/33,072
  6. Step 6: Final answer
    x = 64,706.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.