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Finding the Third Proportional to 47,225.25 and 66,022.88

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Solution

The third proportional to 47,225.25 and 66,022.88 is: 92,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,225.25 : 66,022.88 = 66,022.88 : x
  2. Step 2: Convert to fraction form
    47,225.25/66,022.88 = 66,022.88/x
  3. Step 3: Cross multiply
    47,225.25x = 66,022.88 × 66,022.88
  4. Step 4: Simplify right side
    47,225.25x = 4,359,020,023.27
  5. Step 5: Solve for x
    x = 4,359,020,023.27/47,225.25
  6. Step 6: Final answer
    x = 92,302.74

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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.