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Finding the Third Proportional to 4,549 and 6,437

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Solution

The third proportional to 4,549 and 6,437 is: 9,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549 : 6,437 = 6,437 : x
  2. Step 2: Convert to fraction form
    4,549/6,437 = 6,437/x
  3. Step 3: Cross multiply
    4,549x = 6,437 × 6,437
  4. Step 4: Simplify right side
    4,549x = 41,434,969
  5. Step 5: Solve for x
    x = 41,434,969/4,549
  6. Step 6: Final answer
    x = 9,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.