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Finding the Third Proportional to 24,996 and 54,345

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Solution

The third proportional to 24,996 and 54,345 is: 118,154.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,996 : 54,345 = 54,345 : x
  2. Step 2: Convert to fraction form
    24,996/54,345 = 54,345/x
  3. Step 3: Cross multiply
    24,996x = 54,345 × 54,345
  4. Step 4: Simplify right side
    24,996x = 2,953,379,025
  5. Step 5: Solve for x
    x = 2,953,379,025/24,996
  6. Step 6: Final answer
    x = 118,154.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.