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Finding the Third Proportional to 25,408 and 40,544

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Solution

The third proportional to 25,408 and 40,544 is: 64,696.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408 : 40,544 = 40,544 : x
  2. Step 2: Convert to fraction form
    25,408/40,544 = 40,544/x
  3. Step 3: Cross multiply
    25,408x = 40,544 × 40,544
  4. Step 4: Simplify right side
    25,408x = 1,643,815,936
  5. Step 5: Solve for x
    x = 1,643,815,936/25,408
  6. Step 6: Final answer
    x = 64,696.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.