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Finding the Third Proportional to 24,124 and 37,350

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Solution

The third proportional to 24,124 and 37,350 is: 57,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124 : 37,350 = 37,350 : x
  2. Step 2: Convert to fraction form
    24,124/37,350 = 37,350/x
  3. Step 3: Cross multiply
    24,124x = 37,350 × 37,350
  4. Step 4: Simplify right side
    24,124x = 1,395,022,500
  5. Step 5: Solve for x
    x = 1,395,022,500/24,124
  6. Step 6: Final answer
    x = 57,827.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.