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Finding the Third Proportional to 5,659 and 7,051

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Solution

The third proportional to 5,659 and 7,051 is: 8,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659 : 7,051 = 7,051 : x
  2. Step 2: Convert to fraction form
    5,659/7,051 = 7,051/x
  3. Step 3: Cross multiply
    5,659x = 7,051 × 7,051
  4. Step 4: Simplify right side
    5,659x = 49,716,601
  5. Step 5: Solve for x
    x = 49,716,601/5,659
  6. Step 6: Final answer
    x = 8,785.40

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.