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Finding the Third Proportional to 13,022 and 25,396

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Solution

The third proportional to 13,022 and 25,396 is: 49,528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022 : 25,396 = 25,396 : x
  2. Step 2: Convert to fraction form
    13,022/25,396 = 25,396/x
  3. Step 3: Cross multiply
    13,022x = 25,396 × 25,396
  4. Step 4: Simplify right side
    13,022x = 644,956,816
  5. Step 5: Solve for x
    x = 644,956,816/13,022
  6. Step 6: Final answer
    x = 49,528.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.