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Finding the Third Proportional to 4,307 and 5,812

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Solution

The third proportional to 4,307 and 5,812 is: 7,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307 : 5,812 = 5,812 : x
  2. Step 2: Convert to fraction form
    4,307/5,812 = 5,812/x
  3. Step 3: Cross multiply
    4,307x = 5,812 × 5,812
  4. Step 4: Simplify right side
    4,307x = 33,779,344
  5. Step 5: Solve for x
    x = 33,779,344/4,307
  6. Step 6: Final answer
    x = 7,842.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.