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Finding the Third Proportional to 24,731 and 37,916

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Solution

The third proportional to 24,731 and 37,916 is: 58,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731 : 37,916 = 37,916 : x
  2. Step 2: Convert to fraction form
    24,731/37,916 = 37,916/x
  3. Step 3: Cross multiply
    24,731x = 37,916 × 37,916
  4. Step 4: Simplify right side
    24,731x = 1,437,623,056
  5. Step 5: Solve for x
    x = 1,437,623,056/24,731
  6. Step 6: Final answer
    x = 58,130.41

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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.