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Finding the Third Proportional to 25,022 and 36,363

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Solution

The third proportional to 25,022 and 36,363 is: 52,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,022 : 36,363 = 36,363 : x
  2. Step 2: Convert to fraction form
    25,022/36,363 = 36,363/x
  3. Step 3: Cross multiply
    25,022x = 36,363 × 36,363
  4. Step 4: Simplify right side
    25,022x = 1,322,267,769
  5. Step 5: Solve for x
    x = 1,322,267,769/25,022
  6. Step 6: Final answer
    x = 52,844.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.