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Finding the Third Proportional to 4,083 and 9,582

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Solution

The third proportional to 4,083 and 9,582 is: 22,487.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 9,582 = 9,582 : x
  2. Step 2: Convert to fraction form
    4,083/9,582 = 9,582/x
  3. Step 3: Cross multiply
    4,083x = 9,582 × 9,582
  4. Step 4: Simplify right side
    4,083x = 91,814,724
  5. Step 5: Solve for x
    x = 91,814,724/4,083
  6. Step 6: Final answer
    x = 22,487.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.