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Finding the Third Proportional to 26,137.50 and 53,661

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Solution

The third proportional to 26,137.50 and 53,661 is: 110,167.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,137.50 : 53,661 = 53,661 : x
  2. Step 2: Convert to fraction form
    26,137.50/53,661 = 53,661/x
  3. Step 3: Cross multiply
    26,137.50x = 53,661 × 53,661
  4. Step 4: Simplify right side
    26,137.50x = 2,879,502,921
  5. Step 5: Solve for x
    x = 2,879,502,921/26,137.50
  6. Step 6: Final answer
    x = 110,167.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.