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Finding the Third Proportional to 5,849 and 6,437

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Solution

The third proportional to 5,849 and 6,437 is: 7,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849 : 6,437 = 6,437 : x
  2. Step 2: Convert to fraction form
    5,849/6,437 = 6,437/x
  3. Step 3: Cross multiply
    5,849x = 6,437 × 6,437
  4. Step 4: Simplify right side
    5,849x = 41,434,969
  5. Step 5: Solve for x
    x = 41,434,969/5,849
  6. Step 6: Final answer
    x = 7,084.11

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.