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Finding the Third Proportional to 19,500.19 and 27,865.97

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Solution

The third proportional to 19,500.19 and 27,865.97 is: 39,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.19 : 27,865.97 = 27,865.97 : x
  2. Step 2: Convert to fraction form
    19,500.19/27,865.97 = 27,865.97/x
  3. Step 3: Cross multiply
    19,500.19x = 27,865.97 × 27,865.97
  4. Step 4: Simplify right side
    19,500.19x = 776,512,214.38
  5. Step 5: Solve for x
    x = 776,512,214.38/19,500.19
  6. Step 6: Final answer
    x = 39,820.76

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.