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Finding the Third Proportional to 31,257 and 44,775

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Solution

The third proportional to 31,257 and 44,775 is: 64,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,257 : 44,775 = 44,775 : x
  2. Step 2: Convert to fraction form
    31,257/44,775 = 44,775/x
  3. Step 3: Cross multiply
    31,257x = 44,775 × 44,775
  4. Step 4: Simplify right side
    31,257x = 2,004,800,625
  5. Step 5: Solve for x
    x = 2,004,800,625/31,257
  6. Step 6: Final answer
    x = 64,139.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.