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Finding the Third Proportional to 37,558.69 and 82,270.69

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Solution

The third proportional to 37,558.69 and 82,270.69 is: 180,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,558.69 : 82,270.69 = 82,270.69 : x
  2. Step 2: Convert to fraction form
    37,558.69/82,270.69 = 82,270.69/x
  3. Step 3: Cross multiply
    37,558.69x = 82,270.69 × 82,270.69
  4. Step 4: Simplify right side
    37,558.69x = 6,768,466,021.72
  5. Step 5: Solve for x
    x = 6,768,466,021.72/37,558.69
  6. Step 6: Final answer
    x = 180,210.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.