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Finding the Third Proportional to 24,950 and 37,830

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Solution

The third proportional to 24,950 and 37,830 is: 57,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,950 : 37,830 = 37,830 : x
  2. Step 2: Convert to fraction form
    24,950/37,830 = 37,830/x
  3. Step 3: Cross multiply
    24,950x = 37,830 × 37,830
  4. Step 4: Simplify right side
    24,950x = 1,431,108,900
  5. Step 5: Solve for x
    x = 1,431,108,900/24,950
  6. Step 6: Final answer
    x = 57,359.07

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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.