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Finding the Third Proportional to 47,409.75 and 71,414.63

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Solution

The third proportional to 47,409.75 and 71,414.63 is: 107,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,409.75 : 71,414.63 = 71,414.63 : x
  2. Step 2: Convert to fraction form
    47,409.75/71,414.63 = 71,414.63/x
  3. Step 3: Cross multiply
    47,409.75x = 71,414.63 × 71,414.63
  4. Step 4: Simplify right side
    47,409.75x = 5,100,048,663.89
  5. Step 5: Solve for x
    x = 5,100,048,663.89/47,409.75
  6. Step 6: Final answer
    x = 107,573.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.