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Finding the Third Proportional to 47,879.75 and 72,486.13

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Solution

The third proportional to 47,879.75 and 72,486.13 is: 109,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,879.75 : 72,486.13 = 72,486.13 : x
  2. Step 2: Convert to fraction form
    47,879.75/72,486.13 = 72,486.13/x
  3. Step 3: Cross multiply
    47,879.75x = 72,486.13 × 72,486.13
  4. Step 4: Simplify right side
    47,879.75x = 5,254,238,317.52
  5. Step 5: Solve for x
    x = 5,254,238,317.52/47,879.75
  6. Step 6: Final answer
    x = 109,738.22

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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.