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Finding the Third Proportional to 47,407.50 and 71,232

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Solution

The third proportional to 47,407.50 and 71,232 is: 107,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,407.50 : 71,232 = 71,232 : x
  2. Step 2: Convert to fraction form
    47,407.50/71,232 = 71,232/x
  3. Step 3: Cross multiply
    47,407.50x = 71,232 × 71,232
  4. Step 4: Simplify right side
    47,407.50x = 5,073,997,824
  5. Step 5: Solve for x
    x = 5,073,997,824/47,407.50
  6. Step 6: Final answer
    x = 107,029.43

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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.