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Finding the Third Proportional to 13,622 and 15,782

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Solution

The third proportional to 13,622 and 15,782 is: 18,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,622 : 15,782 = 15,782 : x
  2. Step 2: Convert to fraction form
    13,622/15,782 = 15,782/x
  3. Step 3: Cross multiply
    13,622x = 15,782 × 15,782
  4. Step 4: Simplify right side
    13,622x = 249,071,524
  5. Step 5: Solve for x
    x = 249,071,524/13,622
  6. Step 6: Final answer
    x = 18,284.50

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.