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Finding the Third Proportional to 32,514 and 48,755

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Solution

The third proportional to 32,514 and 48,755 is: 73,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,514 : 48,755 = 48,755 : x
  2. Step 2: Convert to fraction form
    32,514/48,755 = 48,755/x
  3. Step 3: Cross multiply
    32,514x = 48,755 × 48,755
  4. Step 4: Simplify right side
    32,514x = 2,377,050,025
  5. Step 5: Solve for x
    x = 2,377,050,025/32,514
  6. Step 6: Final answer
    x = 73,108.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.