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Finding the Third Proportional to 35,764.03 and 52,550.02

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Solution

The third proportional to 35,764.03 and 52,550.02 is: 77,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764.03 : 52,550.02 = 52,550.02 : x
  2. Step 2: Convert to fraction form
    35,764.03/52,550.02 = 52,550.02/x
  3. Step 3: Cross multiply
    35,764.03x = 52,550.02 × 52,550.02
  4. Step 4: Simplify right side
    35,764.03x = 2,761,504,142.19
  5. Step 5: Solve for x
    x = 2,761,504,142.19/35,764.03
  6. Step 6: Final answer
    x = 77,214.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.