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Finding the Third Proportional to 25,879.50 and 52,655.06

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Solution

The third proportional to 25,879.50 and 52,655.06 is: 107,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,879.50 : 52,655.06 = 52,655.06 : x
  2. Step 2: Convert to fraction form
    25,879.50/52,655.06 = 52,655.06/x
  3. Step 3: Cross multiply
    25,879.50x = 52,655.06 × 52,655.06
  4. Step 4: Simplify right side
    25,879.50x = 2,772,555,606.88
  5. Step 5: Solve for x
    x = 2,772,555,606.88/25,879.50
  6. Step 6: Final answer
    x = 107,133.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.