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Finding the Third Proportional to 33,088.50 and 49,546.69

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Solution

The third proportional to 33,088.50 and 49,546.69 is: 74,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088.50 : 49,546.69 = 49,546.69 : x
  2. Step 2: Convert to fraction form
    33,088.50/49,546.69 = 49,546.69/x
  3. Step 3: Cross multiply
    33,088.50x = 49,546.69 × 49,546.69
  4. Step 4: Simplify right side
    33,088.50x = 2,454,874,242.22
  5. Step 5: Solve for x
    x = 2,454,874,242.22/33,088.50
  6. Step 6: Final answer
    x = 74,191.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.