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Finding the Third Proportional to 32,337 and 50,187

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Solution

The third proportional to 32,337 and 50,187 is: 77,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,337 : 50,187 = 50,187 : x
  2. Step 2: Convert to fraction form
    32,337/50,187 = 50,187/x
  3. Step 3: Cross multiply
    32,337x = 50,187 × 50,187
  4. Step 4: Simplify right side
    32,337x = 2,518,734,969
  5. Step 5: Solve for x
    x = 2,518,734,969/32,337
  6. Step 6: Final answer
    x = 77,890.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.