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Finding the Third Proportional to 24,204 and 53,066

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Solution

The third proportional to 24,204 and 53,066 is: 116,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204 : 53,066 = 53,066 : x
  2. Step 2: Convert to fraction form
    24,204/53,066 = 53,066/x
  3. Step 3: Cross multiply
    24,204x = 53,066 × 53,066
  4. Step 4: Simplify right side
    24,204x = 2,816,000,356
  5. Step 5: Solve for x
    x = 2,816,000,356/24,204
  6. Step 6: Final answer
    x = 116,344.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.