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Finding the Third Proportional to 36,940.75 and 58,503.75

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Solution

The third proportional to 36,940.75 and 58,503.75 is: 92,653.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,940.75 : 58,503.75 = 58,503.75 : x
  2. Step 2: Convert to fraction form
    36,940.75/58,503.75 = 58,503.75/x
  3. Step 3: Cross multiply
    36,940.75x = 58,503.75 × 58,503.75
  4. Step 4: Simplify right side
    36,940.75x = 3,422,688,764.06
  5. Step 5: Solve for x
    x = 3,422,688,764.06/36,940.75
  6. Step 6: Final answer
    x = 92,653.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.