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Finding the Third Proportional to 4,083 and 8,562

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Solution

The third proportional to 4,083 and 8,562 is: 17,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083 : 8,562 = 8,562 : x
  2. Step 2: Convert to fraction form
    4,083/8,562 = 8,562/x
  3. Step 3: Cross multiply
    4,083x = 8,562 × 8,562
  4. Step 4: Simplify right side
    4,083x = 73,307,844
  5. Step 5: Solve for x
    x = 73,307,844/4,083
  6. Step 6: Final answer
    x = 17,954.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.