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Finding the Third Proportional to 23,072.50 and 32,993.50

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Solution

The third proportional to 23,072.50 and 32,993.50 is: 47,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,072.50 : 32,993.50 = 32,993.50 : x
  2. Step 2: Convert to fraction form
    23,072.50/32,993.50 = 32,993.50/x
  3. Step 3: Cross multiply
    23,072.50x = 32,993.50 × 32,993.50
  4. Step 4: Simplify right side
    23,072.50x = 1,088,571,042.25
  5. Step 5: Solve for x
    x = 1,088,571,042.25/23,072.50
  6. Step 6: Final answer
    x = 47,180.45

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.