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Finding the Third Proportional to 4,854 and 6,554

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Solution

The third proportional to 4,854 and 6,554 is: 8,849.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854 : 6,554 = 6,554 : x
  2. Step 2: Convert to fraction form
    4,854/6,554 = 6,554/x
  3. Step 3: Cross multiply
    4,854x = 6,554 × 6,554
  4. Step 4: Simplify right side
    4,854x = 42,954,916
  5. Step 5: Solve for x
    x = 42,954,916/4,854
  6. Step 6: Final answer
    x = 8,849.39

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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.