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Finding the Third Proportional to 23,776 and 55,054

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Solution

The third proportional to 23,776 and 55,054 is: 127,479.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776 : 55,054 = 55,054 : x
  2. Step 2: Convert to fraction form
    23,776/55,054 = 55,054/x
  3. Step 3: Cross multiply
    23,776x = 55,054 × 55,054
  4. Step 4: Simplify right side
    23,776x = 3,030,942,916
  5. Step 5: Solve for x
    x = 3,030,942,916/23,776
  6. Step 6: Final answer
    x = 127,479.09

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.