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Finding the Third Proportional to 38,474 and 57,964

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Solution

The third proportional to 38,474 and 57,964 is: 87,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474 : 57,964 = 57,964 : x
  2. Step 2: Convert to fraction form
    38,474/57,964 = 57,964/x
  3. Step 3: Cross multiply
    38,474x = 57,964 × 57,964
  4. Step 4: Simplify right side
    38,474x = 3,359,825,296
  5. Step 5: Solve for x
    x = 3,359,825,296/38,474
  6. Step 6: Final answer
    x = 87,327.16

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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.