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Finding the Third Proportional to 24,205 and 36,306

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Solution

The third proportional to 24,205 and 36,306 is: 54,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205 : 36,306 = 36,306 : x
  2. Step 2: Convert to fraction form
    24,205/36,306 = 36,306/x
  3. Step 3: Cross multiply
    24,205x = 36,306 × 36,306
  4. Step 4: Simplify right side
    24,205x = 1,318,125,636
  5. Step 5: Solve for x
    x = 1,318,125,636/24,205
  6. Step 6: Final answer
    x = 54,456.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.