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Finding the Third Proportional to 25,214 and 52,503

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Solution

The third proportional to 25,214 and 52,503 is: 109,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214 : 52,503 = 52,503 : x
  2. Step 2: Convert to fraction form
    25,214/52,503 = 52,503/x
  3. Step 3: Cross multiply
    25,214x = 52,503 × 52,503
  4. Step 4: Simplify right side
    25,214x = 2,756,565,009
  5. Step 5: Solve for x
    x = 2,756,565,009/25,214
  6. Step 6: Final answer
    x = 109,326.76

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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.