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Finding the Third Proportional to 37,033 and 80,356

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Solution

The third proportional to 37,033 and 80,356 is: 174,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,033 : 80,356 = 80,356 : x
  2. Step 2: Convert to fraction form
    37,033/80,356 = 80,356/x
  3. Step 3: Cross multiply
    37,033x = 80,356 × 80,356
  4. Step 4: Simplify right side
    37,033x = 6,457,086,736
  5. Step 5: Solve for x
    x = 6,457,086,736/37,033
  6. Step 6: Final answer
    x = 174,360.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.