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Finding the Third Proportional to 24,419 and 36,705

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Solution

The third proportional to 24,419 and 36,705 is: 55,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,419 : 36,705 = 36,705 : x
  2. Step 2: Convert to fraction form
    24,419/36,705 = 36,705/x
  3. Step 3: Cross multiply
    24,419x = 36,705 × 36,705
  4. Step 4: Simplify right side
    24,419x = 1,347,257,025
  5. Step 5: Solve for x
    x = 1,347,257,025/24,419
  6. Step 6: Final answer
    x = 55,172.49

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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.