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Finding the Third Proportional to 19,165.31 and 26,856.38

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Solution

The third proportional to 19,165.31 and 26,856.38 is: 37,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.31 : 26,856.38 = 26,856.38 : x
  2. Step 2: Convert to fraction form
    19,165.31/26,856.38 = 26,856.38/x
  3. Step 3: Cross multiply
    19,165.31x = 26,856.38 × 26,856.38
  4. Step 4: Simplify right side
    19,165.31x = 721,264,878.14
  5. Step 5: Solve for x
    x = 721,264,878.14/19,165.31
  6. Step 6: Final answer
    x = 37,633.87

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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.