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Finding the Third Proportional to 24,494 and 53,142

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Solution

The third proportional to 24,494 and 53,142 is: 115,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494 : 53,142 = 53,142 : x
  2. Step 2: Convert to fraction form
    24,494/53,142 = 53,142/x
  3. Step 3: Cross multiply
    24,494x = 53,142 × 53,142
  4. Step 4: Simplify right side
    24,494x = 2,824,072,164
  5. Step 5: Solve for x
    x = 2,824,072,164/24,494
  6. Step 6: Final answer
    x = 115,296.49

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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.