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Finding the Third Proportional to 31,336 and 45,275

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Solution

The third proportional to 31,336 and 45,275 is: 65,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,336 : 45,275 = 45,275 : x
  2. Step 2: Convert to fraction form
    31,336/45,275 = 45,275/x
  3. Step 3: Cross multiply
    31,336x = 45,275 × 45,275
  4. Step 4: Simplify right side
    31,336x = 2,049,825,625
  5. Step 5: Solve for x
    x = 2,049,825,625/31,336
  6. Step 6: Final answer
    x = 65,414.40

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.