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Finding the Third Proportional to 37,335 and 82,050

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Solution

The third proportional to 37,335 and 82,050 is: 180,318.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,335 : 82,050 = 82,050 : x
  2. Step 2: Convert to fraction form
    37,335/82,050 = 82,050/x
  3. Step 3: Cross multiply
    37,335x = 82,050 × 82,050
  4. Step 4: Simplify right side
    37,335x = 6,732,202,500
  5. Step 5: Solve for x
    x = 6,732,202,500/37,335
  6. Step 6: Final answer
    x = 180,318.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.