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Finding the Third Proportional to 32,886 and 48,821

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Solution

The third proportional to 32,886 and 48,821 is: 72,477.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 48,821 = 48,821 : x
  2. Step 2: Convert to fraction form
    32,886/48,821 = 48,821/x
  3. Step 3: Cross multiply
    32,886x = 48,821 × 48,821
  4. Step 4: Simplify right side
    32,886x = 2,383,490,041
  5. Step 5: Solve for x
    x = 2,383,490,041/32,886
  6. Step 6: Final answer
    x = 72,477.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.