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Finding the Third Proportional to 25,502 and 52,138

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Solution

The third proportional to 25,502 and 52,138 is: 106,594.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,502 : 52,138 = 52,138 : x
  2. Step 2: Convert to fraction form
    25,502/52,138 = 52,138/x
  3. Step 3: Cross multiply
    25,502x = 52,138 × 52,138
  4. Step 4: Simplify right side
    25,502x = 2,718,371,044
  5. Step 5: Solve for x
    x = 2,718,371,044/25,502
  6. Step 6: Final answer
    x = 106,594.43

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.