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Finding the Third Proportional to 23,361.75 and 36,716.63

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Solution

The third proportional to 23,361.75 and 36,716.63 is: 57,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,361.75 : 36,716.63 = 36,716.63 : x
  2. Step 2: Convert to fraction form
    23,361.75/36,716.63 = 36,716.63/x
  3. Step 3: Cross multiply
    23,361.75x = 36,716.63 × 36,716.63
  4. Step 4: Simplify right side
    23,361.75x = 1,348,110,551.39
  5. Step 5: Solve for x
    x = 1,348,110,551.39/23,361.75
  6. Step 6: Final answer
    x = 57,705.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.