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Finding the Third Proportional to 37,457.50 and 80,423

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Solution

The third proportional to 37,457.50 and 80,423 is: 172,671.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,457.50 : 80,423 = 80,423 : x
  2. Step 2: Convert to fraction form
    37,457.50/80,423 = 80,423/x
  3. Step 3: Cross multiply
    37,457.50x = 80,423 × 80,423
  4. Step 4: Simplify right side
    37,457.50x = 6,467,858,929
  5. Step 5: Solve for x
    x = 6,467,858,929/37,457.50
  6. Step 6: Final answer
    x = 172,671.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.