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Finding the Third Proportional to 18,776 and 25,126

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Solution

The third proportional to 18,776 and 25,126 is: 33,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,776 : 25,126 = 25,126 : x
  2. Step 2: Convert to fraction form
    18,776/25,126 = 25,126/x
  3. Step 3: Cross multiply
    18,776x = 25,126 × 25,126
  4. Step 4: Simplify right side
    18,776x = 631,315,876
  5. Step 5: Solve for x
    x = 631,315,876/18,776
  6. Step 6: Final answer
    x = 33,623.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.