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Finding the Third Proportional to 24,923 and 37,412

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Solution

The third proportional to 24,923 and 37,412 is: 56,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923 : 37,412 = 37,412 : x
  2. Step 2: Convert to fraction form
    24,923/37,412 = 37,412/x
  3. Step 3: Cross multiply
    24,923x = 37,412 × 37,412
  4. Step 4: Simplify right side
    24,923x = 1,399,657,744
  5. Step 5: Solve for x
    x = 1,399,657,744/24,923
  6. Step 6: Final answer
    x = 56,159.28

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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.