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Finding the Third Proportional to 25,284 and 36,408

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Solution

The third proportional to 25,284 and 36,408 is: 52,426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,284 : 36,408 = 36,408 : x
  2. Step 2: Convert to fraction form
    25,284/36,408 = 36,408/x
  3. Step 3: Cross multiply
    25,284x = 36,408 × 36,408
  4. Step 4: Simplify right side
    25,284x = 1,325,542,464
  5. Step 5: Solve for x
    x = 1,325,542,464/25,284
  6. Step 6: Final answer
    x = 52,426.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.