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Finding the Third Proportional to 24,953.50 and 37,427

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Solution

The third proportional to 24,953.50 and 37,427 is: 56,135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953.50 : 37,427 = 37,427 : x
  2. Step 2: Convert to fraction form
    24,953.50/37,427 = 37,427/x
  3. Step 3: Cross multiply
    24,953.50x = 37,427 × 37,427
  4. Step 4: Simplify right side
    24,953.50x = 1,400,780,329
  5. Step 5: Solve for x
    x = 1,400,780,329/24,953.50
  6. Step 6: Final answer
    x = 56,135.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.