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Finding the Third Proportional to 25,879.50 and 50,468.06

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Solution

The third proportional to 25,879.50 and 50,468.06 is: 98,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.50 : 50,468.06 = 50,468.06 : x
  2. Step 2: Convert to fraction form
    25,879.50/50,468.06 = 50,468.06/x
  3. Step 3: Cross multiply
    25,879.50x = 50,468.06 × 50,468.06
  4. Step 4: Simplify right side
    25,879.50x = 2,547,025,332.50
  5. Step 5: Solve for x
    x = 2,547,025,332.50/25,879.50
  6. Step 6: Final answer
    x = 98,418.65

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.