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Finding the Third Proportional to 24,145 and 37,311

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Solution

The third proportional to 24,145 and 37,311 is: 57,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,145 : 37,311 = 37,311 : x
  2. Step 2: Convert to fraction form
    24,145/37,311 = 37,311/x
  3. Step 3: Cross multiply
    24,145x = 37,311 × 37,311
  4. Step 4: Simplify right side
    24,145x = 1,392,110,721
  5. Step 5: Solve for x
    x = 1,392,110,721/24,145
  6. Step 6: Final answer
    x = 57,656.27

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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.