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Finding the Third Proportional to 19,581.75 and 36,019.69

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Solution

The third proportional to 19,581.75 and 36,019.69 is: 66,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 36,019.69 = 36,019.69 : x
  2. Step 2: Convert to fraction form
    19,581.75/36,019.69 = 36,019.69/x
  3. Step 3: Cross multiply
    19,581.75x = 36,019.69 × 36,019.69
  4. Step 4: Simplify right side
    19,581.75x = 1,297,417,887.60
  5. Step 5: Solve for x
    x = 1,297,417,887.60/19,581.75
  6. Step 6: Final answer
    x = 66,256.48

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.