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Finding the Third Proportional to 19,516.50 and 45,930.38

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Solution

The third proportional to 19,516.50 and 45,930.38 is: 108,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,516.50 : 45,930.38 = 45,930.38 : x
  2. Step 2: Convert to fraction form
    19,516.50/45,930.38 = 45,930.38/x
  3. Step 3: Cross multiply
    19,516.50x = 45,930.38 × 45,930.38
  4. Step 4: Simplify right side
    19,516.50x = 2,109,599,347.64
  5. Step 5: Solve for x
    x = 2,109,599,347.64/19,516.50
  6. Step 6: Final answer
    x = 108,093.12

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.