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Finding the Third Proportional to 24,946 and 53,351

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Solution

The third proportional to 24,946 and 53,351 is: 114,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,946 : 53,351 = 53,351 : x
  2. Step 2: Convert to fraction form
    24,946/53,351 = 53,351/x
  3. Step 3: Cross multiply
    24,946x = 53,351 × 53,351
  4. Step 4: Simplify right side
    24,946x = 2,846,329,201
  5. Step 5: Solve for x
    x = 2,846,329,201/24,946
  6. Step 6: Final answer
    x = 114,099.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.