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Finding the Third Proportional to 24,740 and 37,324

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Solution

The third proportional to 24,740 and 37,324 is: 56,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,740 : 37,324 = 37,324 : x
  2. Step 2: Convert to fraction form
    24,740/37,324 = 37,324/x
  3. Step 3: Cross multiply
    24,740x = 37,324 × 37,324
  4. Step 4: Simplify right side
    24,740x = 1,393,080,976
  5. Step 5: Solve for x
    x = 1,393,080,976/24,740
  6. Step 6: Final answer
    x = 56,308.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.