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Finding the Third Proportional to 19,293.19 and 41,745.38

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Solution

The third proportional to 19,293.19 and 41,745.38 is: 90,325.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,293.19 : 41,745.38 = 41,745.38 : x
  2. Step 2: Convert to fraction form
    19,293.19/41,745.38 = 41,745.38/x
  3. Step 3: Cross multiply
    19,293.19x = 41,745.38 × 41,745.38
  4. Step 4: Simplify right side
    19,293.19x = 1,742,676,333.89
  5. Step 5: Solve for x
    x = 1,742,676,333.89/19,293.19
  6. Step 6: Final answer
    x = 90,325.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.