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Finding the Third Proportional to 32,914 and 49,661

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Solution

The third proportional to 32,914 and 49,661 is: 74,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914 : 49,661 = 49,661 : x
  2. Step 2: Convert to fraction form
    32,914/49,661 = 49,661/x
  3. Step 3: Cross multiply
    32,914x = 49,661 × 49,661
  4. Step 4: Simplify right side
    32,914x = 2,466,214,921
  5. Step 5: Solve for x
    x = 2,466,214,921/32,914
  6. Step 6: Final answer
    x = 74,929.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.