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Finding the Third Proportional to 24,638.50 and 37,923

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Solution

The third proportional to 24,638.50 and 37,923 is: 58,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,638.50 : 37,923 = 37,923 : x
  2. Step 2: Convert to fraction form
    24,638.50/37,923 = 37,923/x
  3. Step 3: Cross multiply
    24,638.50x = 37,923 × 37,923
  4. Step 4: Simplify right side
    24,638.50x = 1,438,153,929
  5. Step 5: Solve for x
    x = 1,438,153,929/24,638.50
  6. Step 6: Final answer
    x = 58,370.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.