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Finding the Third Proportional to 32,455 and 67,380.50

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Solution

The third proportional to 32,455 and 67,380.50 is: 139,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,455 : 67,380.50 = 67,380.50 : x
  2. Step 2: Convert to fraction form
    32,455/67,380.50 = 67,380.50/x
  3. Step 3: Cross multiply
    32,455x = 67,380.50 × 67,380.50
  4. Step 4: Simplify right side
    32,455x = 4,540,131,780.25
  5. Step 5: Solve for x
    x = 4,540,131,780.25/32,455
  6. Step 6: Final answer
    x = 139,890.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.