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Finding the Third Proportional to 32,351 and 49,391

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Solution

The third proportional to 32,351 and 49,391 is: 75,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,351 : 49,391 = 49,391 : x
  2. Step 2: Convert to fraction form
    32,351/49,391 = 49,391/x
  3. Step 3: Cross multiply
    32,351x = 49,391 × 49,391
  4. Step 4: Simplify right side
    32,351x = 2,439,470,881
  5. Step 5: Solve for x
    x = 2,439,470,881/32,351
  6. Step 6: Final answer
    x = 75,406.35

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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.