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Finding the Third Proportional to 32,133 and 50,250.75

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Solution

The third proportional to 32,133 and 50,250.75 is: 78,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,133 : 50,250.75 = 50,250.75 : x
  2. Step 2: Convert to fraction form
    32,133/50,250.75 = 50,250.75/x
  3. Step 3: Cross multiply
    32,133x = 50,250.75 × 50,250.75
  4. Step 4: Simplify right side
    32,133x = 2,525,137,875.56
  5. Step 5: Solve for x
    x = 2,525,137,875.56/32,133
  6. Step 6: Final answer
    x = 78,583.94

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Why These Related Problems?

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