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Finding the Third Proportional to 5,764 and 9,006

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Solution

The third proportional to 5,764 and 9,006 is: 14,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764 : 9,006 = 9,006 : x
  2. Step 2: Convert to fraction form
    5,764/9,006 = 9,006/x
  3. Step 3: Cross multiply
    5,764x = 9,006 × 9,006
  4. Step 4: Simplify right side
    5,764x = 81,108,036
  5. Step 5: Solve for x
    x = 81,108,036/5,764
  6. Step 6: Final answer
    x = 14,071.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.