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Finding the Third Proportional to 23,713.50 and 50,789.25

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Solution

The third proportional to 23,713.50 and 50,789.25 is: 108,779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,713.50 : 50,789.25 = 50,789.25 : x
  2. Step 2: Convert to fraction form
    23,713.50/50,789.25 = 50,789.25/x
  3. Step 3: Cross multiply
    23,713.50x = 50,789.25 × 50,789.25
  4. Step 4: Simplify right side
    23,713.50x = 2,579,547,915.56
  5. Step 5: Solve for x
    x = 2,579,547,915.56/23,713.50
  6. Step 6: Final answer
    x = 108,779.72

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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.