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Finding the Third Proportional to 18,812.25 and 25,102.41

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Solution

The third proportional to 18,812.25 and 25,102.41 is: 33,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,812.25 : 25,102.41 = 25,102.41 : x
  2. Step 2: Convert to fraction form
    18,812.25/25,102.41 = 25,102.41/x
  3. Step 3: Cross multiply
    18,812.25x = 25,102.41 × 25,102.41
  4. Step 4: Simplify right side
    18,812.25x = 630,130,799.54
  5. Step 5: Solve for x
    x = 630,130,799.54/18,812.25
  6. Step 6: Final answer
    x = 33,495.77

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.