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Finding the Third Proportional to 31,744 and 48,633

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Solution

The third proportional to 31,744 and 48,633 is: 74,507.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744 : 48,633 = 48,633 : x
  2. Step 2: Convert to fraction form
    31,744/48,633 = 48,633/x
  3. Step 3: Cross multiply
    31,744x = 48,633 × 48,633
  4. Step 4: Simplify right side
    31,744x = 2,365,168,689
  5. Step 5: Solve for x
    x = 2,365,168,689/31,744
  6. Step 6: Final answer
    x = 74,507.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.