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Finding the Third Proportional to 4,624 and 8,768

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Solution

The third proportional to 4,624 and 8,768 is: 16,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624 : 8,768 = 8,768 : x
  2. Step 2: Convert to fraction form
    4,624/8,768 = 8,768/x
  3. Step 3: Cross multiply
    4,624x = 8,768 × 8,768
  4. Step 4: Simplify right side
    4,624x = 76,877,824
  5. Step 5: Solve for x
    x = 76,877,824/4,624
  6. Step 6: Final answer
    x = 16,625.83

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.