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Finding the Third Proportional to 47,939 and 75,038.25

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Solution

The third proportional to 47,939 and 75,038.25 is: 117,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,939 : 75,038.25 = 75,038.25 : x
  2. Step 2: Convert to fraction form
    47,939/75,038.25 = 75,038.25/x
  3. Step 3: Cross multiply
    47,939x = 75,038.25 × 75,038.25
  4. Step 4: Simplify right side
    47,939x = 5,630,738,963.06
  5. Step 5: Solve for x
    x = 5,630,738,963.06/47,939
  6. Step 6: Final answer
    x = 117,456.33

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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.