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Finding the Third Proportional to 25,701 and 40,782

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Solution

The third proportional to 25,701 and 40,782 is: 64,712.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701 : 40,782 = 40,782 : x
  2. Step 2: Convert to fraction form
    25,701/40,782 = 40,782/x
  3. Step 3: Cross multiply
    25,701x = 40,782 × 40,782
  4. Step 4: Simplify right side
    25,701x = 1,663,171,524
  5. Step 5: Solve for x
    x = 1,663,171,524/25,701
  6. Step 6: Final answer
    x = 64,712.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.