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Finding the Third Proportional to 47,433.94 and 71,128.13

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Solution

The third proportional to 47,433.94 and 71,128.13 is: 106,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,433.94 : 71,128.13 = 71,128.13 : x
  2. Step 2: Convert to fraction form
    47,433.94/71,128.13 = 71,128.13/x
  3. Step 3: Cross multiply
    47,433.94x = 71,128.13 × 71,128.13
  4. Step 4: Simplify right side
    47,433.94x = 5,059,210,166.02
  5. Step 5: Solve for x
    x = 5,059,210,166.02/47,433.94
  6. Step 6: Final answer
    x = 106,658.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.