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Finding the Third Proportional to 47,305 and 72,733

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Solution

The third proportional to 47,305 and 72,733 is: 111,829.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305 : 72,733 = 72,733 : x
  2. Step 2: Convert to fraction form
    47,305/72,733 = 72,733/x
  3. Step 3: Cross multiply
    47,305x = 72,733 × 72,733
  4. Step 4: Simplify right side
    47,305x = 5,290,089,289
  5. Step 5: Solve for x
    x = 5,290,089,289/47,305
  6. Step 6: Final answer
    x = 111,829.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.