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Finding the Third Proportional to 47,074.63 and 65,843.63

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Solution

The third proportional to 47,074.63 and 65,843.63 is: 92,095.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,074.63 : 65,843.63 = 65,843.63 : x
  2. Step 2: Convert to fraction form
    47,074.63/65,843.63 = 65,843.63/x
  3. Step 3: Cross multiply
    47,074.63x = 65,843.63 × 65,843.63
  4. Step 4: Simplify right side
    47,074.63x = 4,335,382,953.14
  5. Step 5: Solve for x
    x = 4,335,382,953.14/47,074.63
  6. Step 6: Final answer
    x = 92,095.96

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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.