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Finding the Third Proportional to 25,147 and 52,359

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Solution

The third proportional to 25,147 and 52,359 is: 109,017.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147 : 52,359 = 52,359 : x
  2. Step 2: Convert to fraction form
    25,147/52,359 = 52,359/x
  3. Step 3: Cross multiply
    25,147x = 52,359 × 52,359
  4. Step 4: Simplify right side
    25,147x = 2,741,464,881
  5. Step 5: Solve for x
    x = 2,741,464,881/25,147
  6. Step 6: Final answer
    x = 109,017.57

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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.