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Finding the Third Proportional to 4,284 and 5,731

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Solution

The third proportional to 4,284 and 5,731 is: 7,666.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 5,731 = 5,731 : x
  2. Step 2: Convert to fraction form
    4,284/5,731 = 5,731/x
  3. Step 3: Cross multiply
    4,284x = 5,731 × 5,731
  4. Step 4: Simplify right side
    4,284x = 32,844,361
  5. Step 5: Solve for x
    x = 32,844,361/4,284
  6. Step 6: Final answer
    x = 7,666.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.