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Finding the Third Proportional to 24,225 and 36,362

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Solution

The third proportional to 24,225 and 36,362 is: 54,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,225 : 36,362 = 36,362 : x
  2. Step 2: Convert to fraction form
    24,225/36,362 = 36,362/x
  3. Step 3: Cross multiply
    24,225x = 36,362 × 36,362
  4. Step 4: Simplify right side
    24,225x = 1,322,195,044
  5. Step 5: Solve for x
    x = 1,322,195,044/24,225
  6. Step 6: Final answer
    x = 54,579.77

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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.