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Finding the Third Proportional to 24,150 and 36,944

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Solution

The third proportional to 24,150 and 36,944 is: 56,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,150 : 36,944 = 36,944 : x
  2. Step 2: Convert to fraction form
    24,150/36,944 = 36,944/x
  3. Step 3: Cross multiply
    24,150x = 36,944 × 36,944
  4. Step 4: Simplify right side
    24,150x = 1,364,859,136
  5. Step 5: Solve for x
    x = 1,364,859,136/24,150
  6. Step 6: Final answer
    x = 56,515.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.