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Finding the Third Proportional to 19,461.38 and 27,734.06

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Solution

The third proportional to 19,461.38 and 27,734.06 is: 39,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.38 : 27,734.06 = 27,734.06 : x
  2. Step 2: Convert to fraction form
    19,461.38/27,734.06 = 27,734.06/x
  3. Step 3: Cross multiply
    19,461.38x = 27,734.06 × 27,734.06
  4. Step 4: Simplify right side
    19,461.38x = 769,178,222.75
  5. Step 5: Solve for x
    x = 769,178,222.75/19,461.38
  6. Step 6: Final answer
    x = 39,523.32

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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.