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Finding the Third Proportional to 25,249.50 and 52,135.50

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Solution

The third proportional to 25,249.50 and 52,135.50 is: 107,650.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249.50 : 52,135.50 = 52,135.50 : x
  2. Step 2: Convert to fraction form
    25,249.50/52,135.50 = 52,135.50/x
  3. Step 3: Cross multiply
    25,249.50x = 52,135.50 × 52,135.50
  4. Step 4: Simplify right side
    25,249.50x = 2,718,110,360.25
  5. Step 5: Solve for x
    x = 2,718,110,360.25/25,249.50
  6. Step 6: Final answer
    x = 107,650.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.