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Finding the Third Proportional to 47,651.63 and 71,246.25

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Solution

The third proportional to 47,651.63 and 71,246.25 is: 106,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,651.63 : 71,246.25 = 71,246.25 : x
  2. Step 2: Convert to fraction form
    47,651.63/71,246.25 = 71,246.25/x
  3. Step 3: Cross multiply
    47,651.63x = 71,246.25 × 71,246.25
  4. Step 4: Simplify right side
    47,651.63x = 5,076,028,139.06
  5. Step 5: Solve for x
    x = 5,076,028,139.06/47,651.63
  6. Step 6: Final answer
    x = 106,523.72

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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.