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Finding the Third Proportional to 5,768 and 6,368

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Solution

The third proportional to 5,768 and 6,368 is: 7,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768 : 6,368 = 6,368 : x
  2. Step 2: Convert to fraction form
    5,768/6,368 = 6,368/x
  3. Step 3: Cross multiply
    5,768x = 6,368 × 6,368
  4. Step 4: Simplify right side
    5,768x = 40,551,424
  5. Step 5: Solve for x
    x = 40,551,424/5,768
  6. Step 6: Final answer
    x = 7,030.41

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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.