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Finding the Third Proportional to 25,400 and 38,184

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Solution

The third proportional to 25,400 and 38,184 is: 57,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400 : 38,184 = 38,184 : x
  2. Step 2: Convert to fraction form
    25,400/38,184 = 38,184/x
  3. Step 3: Cross multiply
    25,400x = 38,184 × 38,184
  4. Step 4: Simplify right side
    25,400x = 1,458,017,856
  5. Step 5: Solve for x
    x = 1,458,017,856/25,400
  6. Step 6: Final answer
    x = 57,402.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.