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Finding the Third Proportional to 37,330 and 80,598.50

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Solution

The third proportional to 37,330 and 80,598.50 is: 174,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,330 : 80,598.50 = 80,598.50 : x
  2. Step 2: Convert to fraction form
    37,330/80,598.50 = 80,598.50/x
  3. Step 3: Cross multiply
    37,330x = 80,598.50 × 80,598.50
  4. Step 4: Simplify right side
    37,330x = 6,496,118,202.25
  5. Step 5: Solve for x
    x = 6,496,118,202.25/37,330
  6. Step 6: Final answer
    x = 174,018.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.