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Finding the Third Proportional to 5,823 and 9,012

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Solution

The third proportional to 5,823 and 9,012 is: 13,947.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823 : 9,012 = 9,012 : x
  2. Step 2: Convert to fraction form
    5,823/9,012 = 9,012/x
  3. Step 3: Cross multiply
    5,823x = 9,012 × 9,012
  4. Step 4: Simplify right side
    5,823x = 81,216,144
  5. Step 5: Solve for x
    x = 81,216,144/5,823
  6. Step 6: Final answer
    x = 13,947.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.