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Finding the Third Proportional to 32,300 and 50,364

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Solution

The third proportional to 32,300 and 50,364 is: 78,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,300 : 50,364 = 50,364 : x
  2. Step 2: Convert to fraction form
    32,300/50,364 = 50,364/x
  3. Step 3: Cross multiply
    32,300x = 50,364 × 50,364
  4. Step 4: Simplify right side
    32,300x = 2,536,532,496
  5. Step 5: Solve for x
    x = 2,536,532,496/32,300
  6. Step 6: Final answer
    x = 78,530.42

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.