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Finding the Third Proportional to 25,822 and 36,364

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Solution

The third proportional to 25,822 and 36,364 is: 51,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822 : 36,364 = 36,364 : x
  2. Step 2: Convert to fraction form
    25,822/36,364 = 36,364/x
  3. Step 3: Cross multiply
    25,822x = 36,364 × 36,364
  4. Step 4: Simplify right side
    25,822x = 1,322,340,496
  5. Step 5: Solve for x
    x = 1,322,340,496/25,822
  6. Step 6: Final answer
    x = 51,209.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.