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Finding the Third Proportional to 24,736.50 and 55,011

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Solution

The third proportional to 24,736.50 and 55,011 is: 122,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,736.50 : 55,011 = 55,011 : x
  2. Step 2: Convert to fraction form
    24,736.50/55,011 = 55,011/x
  3. Step 3: Cross multiply
    24,736.50x = 55,011 × 55,011
  4. Step 4: Simplify right side
    24,736.50x = 3,026,210,121
  5. Step 5: Solve for x
    x = 3,026,210,121/24,736.50
  6. Step 6: Final answer
    x = 122,337.85

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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.