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Finding the Third Proportional to 32,078 and 50,391

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Solution

The third proportional to 32,078 and 50,391 is: 79,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078 : 50,391 = 50,391 : x
  2. Step 2: Convert to fraction form
    32,078/50,391 = 50,391/x
  3. Step 3: Cross multiply
    32,078x = 50,391 × 50,391
  4. Step 4: Simplify right side
    32,078x = 2,539,252,881
  5. Step 5: Solve for x
    x = 2,539,252,881/32,078
  6. Step 6: Final answer
    x = 79,158.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.