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Finding the Third Proportional to 32,700 and 50,725

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Solution

The third proportional to 32,700 and 50,725 is: 78,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700 : 50,725 = 50,725 : x
  2. Step 2: Convert to fraction form
    32,700/50,725 = 50,725/x
  3. Step 3: Cross multiply
    32,700x = 50,725 × 50,725
  4. Step 4: Simplify right side
    32,700x = 2,573,025,625
  5. Step 5: Solve for x
    x = 2,573,025,625/32,700
  6. Step 6: Final answer
    x = 78,685.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.