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Finding the Third Proportional to 19,876.50 and 27,861.75

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Solution

The third proportional to 19,876.50 and 27,861.75 is: 39,055.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.50 : 27,861.75 = 27,861.75 : x
  2. Step 2: Convert to fraction form
    19,876.50/27,861.75 = 27,861.75/x
  3. Step 3: Cross multiply
    19,876.50x = 27,861.75 × 27,861.75
  4. Step 4: Simplify right side
    19,876.50x = 776,277,113.06
  5. Step 5: Solve for x
    x = 776,277,113.06/19,876.50
  6. Step 6: Final answer
    x = 39,055.02

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.