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Finding the Third Proportional to 24,696 and 37,257

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Solution

The third proportional to 24,696 and 37,257 is: 56,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696 : 37,257 = 37,257 : x
  2. Step 2: Convert to fraction form
    24,696/37,257 = 37,257/x
  3. Step 3: Cross multiply
    24,696x = 37,257 × 37,257
  4. Step 4: Simplify right side
    24,696x = 1,388,084,049
  5. Step 5: Solve for x
    x = 1,388,084,049/24,696
  6. Step 6: Final answer
    x = 56,206.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.