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Finding the Third Proportional to 25,186 and 52,466

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Solution

The third proportional to 25,186 and 52,466 is: 109,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,186 : 52,466 = 52,466 : x
  2. Step 2: Convert to fraction form
    25,186/52,466 = 52,466/x
  3. Step 3: Cross multiply
    25,186x = 52,466 × 52,466
  4. Step 4: Simplify right side
    25,186x = 2,752,681,156
  5. Step 5: Solve for x
    x = 2,752,681,156/25,186
  6. Step 6: Final answer
    x = 109,294.10

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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.