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Finding the Third Proportional to 23,513.63 and 50,262.19

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Solution

The third proportional to 23,513.63 and 50,262.19 is: 107,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.63 : 50,262.19 = 50,262.19 : x
  2. Step 2: Convert to fraction form
    23,513.63/50,262.19 = 50,262.19/x
  3. Step 3: Cross multiply
    23,513.63x = 50,262.19 × 50,262.19
  4. Step 4: Simplify right side
    23,513.63x = 2,526,287,492.29
  5. Step 5: Solve for x
    x = 2,526,287,492.29/23,513.63
  6. Step 6: Final answer
    x = 107,439.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.