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Finding the Third Proportional to 37,210.50 and 80,037

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Solution

The third proportional to 37,210.50 and 80,037 is: 172,153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,210.50 : 80,037 = 80,037 : x
  2. Step 2: Convert to fraction form
    37,210.50/80,037 = 80,037/x
  3. Step 3: Cross multiply
    37,210.50x = 80,037 × 80,037
  4. Step 4: Simplify right side
    37,210.50x = 6,405,921,369
  5. Step 5: Solve for x
    x = 6,405,921,369/37,210.50
  6. Step 6: Final answer
    x = 172,153.60

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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.