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Finding the Third Proportional to 36,272.25 and 53,716.50

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Solution

The third proportional to 36,272.25 and 53,716.50 is: 79,550.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,272.25 : 53,716.50 = 53,716.50 : x
  2. Step 2: Convert to fraction form
    36,272.25/53,716.50 = 53,716.50/x
  3. Step 3: Cross multiply
    36,272.25x = 53,716.50 × 53,716.50
  4. Step 4: Simplify right side
    36,272.25x = 2,885,462,372.25
  5. Step 5: Solve for x
    x = 2,885,462,372.25/36,272.25
  6. Step 6: Final answer
    x = 79,550.13

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.