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Finding the Third Proportional to 4,408 and 10,768

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Solution

The third proportional to 4,408 and 10,768 is: 26,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,408 : 10,768 = 10,768 : x
  2. Step 2: Convert to fraction form
    4,408/10,768 = 10,768/x
  3. Step 3: Cross multiply
    4,408x = 10,768 × 10,768
  4. Step 4: Simplify right side
    4,408x = 115,949,824
  5. Step 5: Solve for x
    x = 115,949,824/4,408
  6. Step 6: Final answer
    x = 26,304.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.