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Finding the Third Proportional to 4,564 and 6,839

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Solution

The third proportional to 4,564 and 6,839 is: 10,248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564 : 6,839 = 6,839 : x
  2. Step 2: Convert to fraction form
    4,564/6,839 = 6,839/x
  3. Step 3: Cross multiply
    4,564x = 6,839 × 6,839
  4. Step 4: Simplify right side
    4,564x = 46,771,921
  5. Step 5: Solve for x
    x = 46,771,921/4,564
  6. Step 6: Final answer
    x = 10,248.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.