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Finding the Third Proportional to 4,180 and 7,733

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Solution

The third proportional to 4,180 and 7,733 is: 14,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 7,733 = 7,733 : x
  2. Step 2: Convert to fraction form
    4,180/7,733 = 7,733/x
  3. Step 3: Cross multiply
    4,180x = 7,733 × 7,733
  4. Step 4: Simplify right side
    4,180x = 59,799,289
  5. Step 5: Solve for x
    x = 59,799,289/4,180
  6. Step 6: Final answer
    x = 14,306.05

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.