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Finding the Third Proportional to 25,269 and 36,982.50

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Solution

The third proportional to 25,269 and 36,982.50 is: 54,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269 : 36,982.50 = 36,982.50 : x
  2. Step 2: Convert to fraction form
    25,269/36,982.50 = 36,982.50/x
  3. Step 3: Cross multiply
    25,269x = 36,982.50 × 36,982.50
  4. Step 4: Simplify right side
    25,269x = 1,367,705,306.25
  5. Step 5: Solve for x
    x = 1,367,705,306.25/25,269
  6. Step 6: Final answer
    x = 54,125.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.