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Finding the Third Proportional to 4,624 and 7,170

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Solution

The third proportional to 4,624 and 7,170 is: 11,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624 : 7,170 = 7,170 : x
  2. Step 2: Convert to fraction form
    4,624/7,170 = 7,170/x
  3. Step 3: Cross multiply
    4,624x = 7,170 × 7,170
  4. Step 4: Simplify right side
    4,624x = 51,408,900
  5. Step 5: Solve for x
    x = 51,408,900/4,624
  6. Step 6: Final answer
    x = 11,117.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.