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Finding the Third Proportional to 5,760 and 6,354

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Solution

The third proportional to 5,760 and 6,354 is: 7,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760 : 6,354 = 6,354 : x
  2. Step 2: Convert to fraction form
    5,760/6,354 = 6,354/x
  3. Step 3: Cross multiply
    5,760x = 6,354 × 6,354
  4. Step 4: Simplify right side
    5,760x = 40,373,316
  5. Step 5: Solve for x
    x = 40,373,316/5,760
  6. Step 6: Final answer
    x = 7,009.26

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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.