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Finding the Third Proportional to 31,774 and 48,516

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Solution

The third proportional to 31,774 and 48,516 is: 74,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774 : 48,516 = 48,516 : x
  2. Step 2: Convert to fraction form
    31,774/48,516 = 48,516/x
  3. Step 3: Cross multiply
    31,774x = 48,516 × 48,516
  4. Step 4: Simplify right side
    31,774x = 2,353,802,256
  5. Step 5: Solve for x
    x = 2,353,802,256/31,774
  6. Step 6: Final answer
    x = 74,079.51

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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.