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Finding the Third Proportional to 19,581.75 and 45,673.88

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Solution

The third proportional to 19,581.75 and 45,673.88 is: 106,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 45,673.88 = 45,673.88 : x
  2. Step 2: Convert to fraction form
    19,581.75/45,673.88 = 45,673.88/x
  3. Step 3: Cross multiply
    19,581.75x = 45,673.88 × 45,673.88
  4. Step 4: Simplify right side
    19,581.75x = 2,086,102,857.52
  5. Step 5: Solve for x
    x = 2,086,102,857.52/19,581.75
  6. Step 6: Final answer
    x = 106,533.01

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.