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Finding the Third Proportional to 25,180 and 37,073

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Solution

The third proportional to 25,180 and 37,073 is: 54,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180 : 37,073 = 37,073 : x
  2. Step 2: Convert to fraction form
    25,180/37,073 = 37,073/x
  3. Step 3: Cross multiply
    25,180x = 37,073 × 37,073
  4. Step 4: Simplify right side
    25,180x = 1,374,407,329
  5. Step 5: Solve for x
    x = 1,374,407,329/25,180
  6. Step 6: Final answer
    x = 54,583.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.