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Finding the Third Proportional to 25,780 and 36,768

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Solution

The third proportional to 25,780 and 36,768 is: 52,439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780 : 36,768 = 36,768 : x
  2. Step 2: Convert to fraction form
    25,780/36,768 = 36,768/x
  3. Step 3: Cross multiply
    25,780x = 36,768 × 36,768
  4. Step 4: Simplify right side
    25,780x = 1,351,885,824
  5. Step 5: Solve for x
    x = 1,351,885,824/25,780
  6. Step 6: Final answer
    x = 52,439.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.