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Finding the Third Proportional to 32,484 and 50,886

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Solution

The third proportional to 32,484 and 50,886 is: 79,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,484 : 50,886 = 50,886 : x
  2. Step 2: Convert to fraction form
    32,484/50,886 = 50,886/x
  3. Step 3: Cross multiply
    32,484x = 50,886 × 50,886
  4. Step 4: Simplify right side
    32,484x = 2,589,384,996
  5. Step 5: Solve for x
    x = 2,589,384,996/32,484
  6. Step 6: Final answer
    x = 79,712.63

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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.