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Finding the Third Proportional to 32,091 and 49,391

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Solution

The third proportional to 32,091 and 49,391 is: 76,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,091 : 49,391 = 49,391 : x
  2. Step 2: Convert to fraction form
    32,091/49,391 = 49,391/x
  3. Step 3: Cross multiply
    32,091x = 49,391 × 49,391
  4. Step 4: Simplify right side
    32,091x = 2,439,470,881
  5. Step 5: Solve for x
    x = 2,439,470,881/32,091
  6. Step 6: Final answer
    x = 76,017.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.