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Finding the Third Proportional to 4,546 and 5,843

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Solution

The third proportional to 4,546 and 5,843 is: 7,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 5,843 = 5,843 : x
  2. Step 2: Convert to fraction form
    4,546/5,843 = 5,843/x
  3. Step 3: Cross multiply
    4,546x = 5,843 × 5,843
  4. Step 4: Simplify right side
    4,546x = 34,140,649
  5. Step 5: Solve for x
    x = 34,140,649/4,546
  6. Step 6: Final answer
    x = 7,510.04

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.