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Finding the Third Proportional to 25,879.50 and 42,666.75

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Solution

The third proportional to 25,879.50 and 42,666.75 is: 70,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.50 : 42,666.75 = 42,666.75 : x
  2. Step 2: Convert to fraction form
    25,879.50/42,666.75 = 42,666.75/x
  3. Step 3: Cross multiply
    25,879.50x = 42,666.75 × 42,666.75
  4. Step 4: Simplify right side
    25,879.50x = 1,820,451,555.56
  5. Step 5: Solve for x
    x = 1,820,451,555.56/25,879.50
  6. Step 6: Final answer
    x = 70,343.38

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.