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Finding the Third Proportional to 32,733.50 and 50,053

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Solution

The third proportional to 32,733.50 and 50,053 is: 76,536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733.50 : 50,053 = 50,053 : x
  2. Step 2: Convert to fraction form
    32,733.50/50,053 = 50,053/x
  3. Step 3: Cross multiply
    32,733.50x = 50,053 × 50,053
  4. Step 4: Simplify right side
    32,733.50x = 2,505,302,809
  5. Step 5: Solve for x
    x = 2,505,302,809/32,733.50
  6. Step 6: Final answer
    x = 76,536.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.