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Finding the Third Proportional to 26,604.50 and 56,454

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Solution

The third proportional to 26,604.50 and 56,454 is: 119,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,604.50 : 56,454 = 56,454 : x
  2. Step 2: Convert to fraction form
    26,604.50/56,454 = 56,454/x
  3. Step 3: Cross multiply
    26,604.50x = 56,454 × 56,454
  4. Step 4: Simplify right side
    26,604.50x = 3,187,054,116
  5. Step 5: Solve for x
    x = 3,187,054,116/26,604.50
  6. Step 6: Final answer
    x = 119,793.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.