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Finding the Third Proportional to 19,581.75 and 41,492.25

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Solution

The third proportional to 19,581.75 and 41,492.25 is: 87,918.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,581.75 : 41,492.25 = 41,492.25 : x
  2. Step 2: Convert to fraction form
    19,581.75/41,492.25 = 41,492.25/x
  3. Step 3: Cross multiply
    19,581.75x = 41,492.25 × 41,492.25
  4. Step 4: Simplify right side
    19,581.75x = 1,721,606,810.06
  5. Step 5: Solve for x
    x = 1,721,606,810.06/19,581.75
  6. Step 6: Final answer
    x = 87,918.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.