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Finding the Third Proportional to 11,925.98 and 26,449.03

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Solution

The third proportional to 11,925.98 and 26,449.03 is: 58,657.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,925.98 : 26,449.03 = 26,449.03 : x
  2. Step 2: Convert to fraction form
    11,925.98/26,449.03 = 26,449.03/x
  3. Step 3: Cross multiply
    11,925.98x = 26,449.03 × 26,449.03
  4. Step 4: Simplify right side
    11,925.98x = 699,551,254.06
  5. Step 5: Solve for x
    x = 699,551,254.06/11,925.98
  6. Step 6: Final answer
    x = 58,657.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.