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Finding the Third Proportional to 25,090 and 52,286

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Solution

The third proportional to 25,090 and 52,286 is: 108,960.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,090 : 52,286 = 52,286 : x
  2. Step 2: Convert to fraction form
    25,090/52,286 = 52,286/x
  3. Step 3: Cross multiply
    25,090x = 52,286 × 52,286
  4. Step 4: Simplify right side
    25,090x = 2,733,825,796
  5. Step 5: Solve for x
    x = 2,733,825,796/25,090
  6. Step 6: Final answer
    x = 108,960.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.