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Finding the Third Proportional to 31,238 and 48,317

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Solution

The third proportional to 31,238 and 48,317 is: 74,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238 : 48,317 = 48,317 : x
  2. Step 2: Convert to fraction form
    31,238/48,317 = 48,317/x
  3. Step 3: Cross multiply
    31,238x = 48,317 × 48,317
  4. Step 4: Simplify right side
    31,238x = 2,334,532,489
  5. Step 5: Solve for x
    x = 2,334,532,489/31,238
  6. Step 6: Final answer
    x = 74,733.74

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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.