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Finding the Third Proportional to 47,022.75 and 65,905.88

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Solution

The third proportional to 47,022.75 and 65,905.88 is: 92,371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,022.75 : 65,905.88 = 65,905.88 : x
  2. Step 2: Convert to fraction form
    47,022.75/65,905.88 = 65,905.88/x
  3. Step 3: Cross multiply
    47,022.75x = 65,905.88 × 65,905.88
  4. Step 4: Simplify right side
    47,022.75x = 4,343,584,359.52
  5. Step 5: Solve for x
    x = 4,343,584,359.52/47,022.75
  6. Step 6: Final answer
    x = 92,371.98

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.