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Finding the Third Proportional to 47,979 and 75,093.75

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Solution

The third proportional to 47,979 and 75,093.75 is: 117,532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,979 : 75,093.75 = 75,093.75 : x
  2. Step 2: Convert to fraction form
    47,979/75,093.75 = 75,093.75/x
  3. Step 3: Cross multiply
    47,979x = 75,093.75 × 75,093.75
  4. Step 4: Simplify right side
    47,979x = 5,639,071,289.06
  5. Step 5: Solve for x
    x = 5,639,071,289.06/47,979
  6. Step 6: Final answer
    x = 117,532.07

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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.