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Finding the Third Proportional to 24,418 and 37,096

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Solution

The third proportional to 24,418 and 37,096 is: 56,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418 : 37,096 = 37,096 : x
  2. Step 2: Convert to fraction form
    24,418/37,096 = 37,096/x
  3. Step 3: Cross multiply
    24,418x = 37,096 × 37,096
  4. Step 4: Simplify right side
    24,418x = 1,376,113,216
  5. Step 5: Solve for x
    x = 1,376,113,216/24,418
  6. Step 6: Final answer
    x = 56,356.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.