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Finding the Third Proportional to 36,564.75 and 54,607.92

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Solution

The third proportional to 36,564.75 and 54,607.92 is: 81,554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,564.75 : 54,607.92 = 54,607.92 : x
  2. Step 2: Convert to fraction form
    36,564.75/54,607.92 = 54,607.92/x
  3. Step 3: Cross multiply
    36,564.75x = 54,607.92 × 54,607.92
  4. Step 4: Simplify right side
    36,564.75x = 2,982,025,131.51
  5. Step 5: Solve for x
    x = 2,982,025,131.51/36,564.75
  6. Step 6: Final answer
    x = 81,554.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.