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Finding the Third Proportional to 25,809.50 and 52,939.50

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Solution

The third proportional to 25,809.50 and 52,939.50 is: 108,587.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.50 : 52,939.50 = 52,939.50 : x
  2. Step 2: Convert to fraction form
    25,809.50/52,939.50 = 52,939.50/x
  3. Step 3: Cross multiply
    25,809.50x = 52,939.50 × 52,939.50
  4. Step 4: Simplify right side
    25,809.50x = 2,802,590,660.25
  5. Step 5: Solve for x
    x = 2,802,590,660.25/25,809.50
  6. Step 6: Final answer
    x = 108,587.56

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.